**Calculating Area and Perimeter of a Rectangle**

**Area of a rectangle: A = lw **

**l is the length of the rectangle **

**w is the width of the rectangle**

**Perimeter of a rectangle: P = 2l + 2w **

**l is the length**

**w is the width of the rectangle**

**Question 1:**

**A rectangle has a length of 5cm and a perimeter of 16cm. ****What is the width of the rectangle?**

**Let’s use the formula for the perimeter of a rectangle:**

**P = 2(l + w)**

**We know that the perimeter is 16cm, and the length is 5cm. **

**Let’s plug these values in and solve for the width:**

**16cm = 2(5cm + w)**

**8cm = 5cm + w**

**w = 3cm**

**Therefore, the width of the rectangle is 3cm.**

**Requested by: Jamal**

**Question 2:**

**The area of a rectangle is 48m^2 and its width is 6m. ****What is its length?**

**Let’s use the formula for the area of a rectangle:**

**A = lw**

**We know that the area is 48m^2, and the width is 6m. **

**Let’s plug these values in and solve for the length:**

**48m^2 = 6m x l**

**l = 8m**

**Therefore, the length of the rectangle is 8m.**

**Requested by: Kareem**

**Question 3:**

**The perimeter of a rectangle is 26cm and its length is twice its width. What is its width?**

**Let’s use the formula for the perimeter of a rectangle:**

**P = 2(l + w)**

**We know that the perimeter is 26cm, and the length is twice the width. **

**Let’s use “w” to represent the width, and plug in “2w” for the length:**

**26cm = 2(2w + w)**

**26cm = 2(3w)**

**13cm = 3w**

**w = 4.33cm (rounded to two decimal places)**

**Requested by: Kareem**

**Question 4:**

**A rectangle has an area of 60cm^2 and a width of 6cm. What is its length?**

**Let’s use the formula for the area of a rectangle:**

**A = lw**

**We know that the area is 60cm^2, and the width is 6cm. Let’s plug these values in and solve for the length:**

**60cm^2 = 6cm x l**

**l = 10cm**

**Therefore, the length of the rectangle is 10cm.**

**Requested by: Mahmood**

**Question 5:**

**The perimeter of a rectangle is 50cm, and its length is five times its width. ****What is the width of the rectangle?**

**Solution:**

**Let’s use “w” to represent the width of the rectangle.**

**P = 2(l + w)**

**50cm = 2(5w + w)**

**50cm = 12w**

**w = 4.17cm (rounded to two decimal places)**

**Therefore, the width of the rectangle is approximately 4.17cm.**

**Requested by: Raheel**

**Question 6:**

**The perimeter of a rectangle is 72cm, and its length is seven times its width.Â ****What is the width of the rectangle?**

**Solution:**

**Let’s use “w” to represent the width of the rectangle.**

**P = 2(l + w)**

**72cm = 2(7w + w)**

**72cm = 16w**

**w = 4.5cm**

**Therefore, the width of the rectangle is 4.5cm.**

**Requested by: Raheel**

**Question 7:**

**Find the area of a rectangle with length 10cm and width 5cm.**

**Solution:**

**A = lw**

**A = 10cm x 5cm**

**A = 50cm^2**

**Requested by: Saad**

**Question 8:**

**Find the perimeter of a rectangle with length 8cm and width 4cm.**

**Solution:**

**P = 2(l + w)**

**P = 2(8cm + 4cm)**

**P = 24cm**

**Requested by: Saad**

**Question 3:**

**A rectangle has an area of 24cm^2 and a length of 6cm. ****What is the width of the rectangle?**

**Solution:**

**A = lw**

**24cm^2 = 6cm x w**

**w = 4cm**

**Requested by: Saad**

**Question 4:**

**A rectangle has a perimeter of 30cm and a width of 4cm. ****What is the length of the rectangle?**

**Solution:**

**P = 2(l + w)**

**30cm = 2(l + 4cm)**

**l = 11cm**

**Requested by: Saad**

**Question 5:**

**A rectangle has an area of 60cm^2 and a width of 5cm. ****What is the length of the rectangle?**

**Solution:**

**A = lw**

**60cm^2 = 5cm x l**

**l = 12cm**

**Requested by: Saad**

**Question 6:**

**A rectangle has a perimeter of 20cm and a length of 6cm. ****What is the width of the rectangle?**

**Solution:**

**P = 2(l + w)**

**20cm = 2(6cm + w)**

**w = 4cm**

**Requested by: Saad**

**Question 7:**

**The perimeter of a rectangle is 42cm, and its length is four times its width. ****What is the width of the rectangle?**

**Solution:**

**Let’s use “w” to represent the width of the rectangle.**

**P = 2(l + w)**

**42cm = 2(4w + w)**

**42cm = 10w**

**w = 4.2cm**

**Therefore, the width of the rectangle is 4.2cm.**

**Requested by: Tariq**

**Question 8:**

**The perimeter of a rectangle is 36cm, and its length is twice its width. ****What is the width of the rectangle?**

**Solution:**

**Let’s use “w” to represent the width of the rectangle.**

**P = 2(l + w)**

**36cm = 2(2w + w)**

**36cm = 6w**

**w = 6cm**

**Therefore, the width of the rectangle is 6cm.**

**Requested by: Tariq**

**Question 9:**

**Find the area of a rectangle with length 12cm and width 3cm.**

**Solution:**

**A = lw**

**A = 12cm x 3cm**

**A = 36cm^2**

**Requested by: Tariq**

**Question 10:**

**Find the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm.**

**Solution:**

**Area = lw = 8 cm * 5 cm = 40 cm^2**

**Perimeter = 2l + 2w = 2 * 8 cm + 2 * 5 cm = 26 cm**

**Requested by: Yasir**

**Question 11: **

**Find the perimeter and area of a rectangle with length 12 cm and width 6 cm.**

**Solution:**

**Perimeter = 2(length + width) = 2(12 cm + 6 cm) = 2(18 cm) = 36 cm**

**Area = length * width = 12 cm * 6 cm = 72 cm^2**

**Requested by: Yasir**

**Question 12: **

**Find the length of the diagonal of a rectangle with length 9 cm and width 5 cm.**

**Solution:**

**We can use the Pythagorean theorem to find the length of the diagonal:**

**a^2 + b^2 = c^2,**

**where a and b are the length and width of the rectangle, and c is the length of the diagonal.**

**a = 9 cm, b = 5 cm, so we have:**

**9^2 + 5^2 = c^2**

**81 + 25 = c^2**

**106 = c^2**

**c = sqrt(106) = 10.3 cm (rounded to one decimal place)**

**Therefore, the length of the diagonal is approximately 10.3 cm.**

**Requested by: Zain**

**Question 13:**

**Find the perimeter of a rectangle with length 7cm and width 5cm.**

**Solution:**

**P = 2(l + w)**

**P = 2(7cm + 5cm)**

**P = 24cm**

**Requested by: Zain**

**Question 14:**

**A rectangle has an area of 35cm^2 and a length of 7cm. What is the width of the rectangle?**

**Solution:**

**A = lw**

**35cm^2 = 7cm x w**

**w = 5cm**

**Requested by: Zain**

**Question 15:**

**A rectangle has a perimeter of 36cm and a length of 9cm. What is the width of the rectangle?**

**Solution:**

**P = 2(l + w)**

**36cm = 2(9cm + w)**

**w = 9cm**

**Requested by: Zain**

**Question 16:**

**Find the area of a rectangle with length 9cm and width 4cm.**

**Solution:**

**A = lw**

**A = 9cm x 4cm**

**A = 36cm^2**

**Requested by: Zain**

**Question 17:**

**Find the perimeter of a rectangle with length 10cm and width 3cm.**

**Solution:**

**P = 2(l + w)**

**P = 2(10cm + 3cm)**

**P = 26cm**

**Requested by: Zain**

**Question 18:**

**A rectangle has an area of 42cm^2 and a width of 6cm. ****What is the length of the rectangle?**

**Solution:**

**A = lw**

**42cm^2 = 6cm x l**

**l = 7cm**

**Requested by: Zain**

**Question 19:**

**A rectangle has a perimeter of 28cm and a width of 5cm. ****What is the length of the rectangle?**

**Solution:**

**P = 2(l + w)**

**28cm = 2(l + 5cm)**

**l = 9cm**

**Requested by: Zain**

**Question 20:**

**A rectangle has an area of 72cm^2 and a length of 9cm. ****What is the width of the rectangle?**

**Solution:**

**A = lw**

**72cm^2 = 9cm x w**

**w = 8cm**

**Requested by: Zohaib**

**Question 21:**

**A rectangle has a perimeter of 26cm and a length of 7cm. ****What is the width of the rectangle?**

**Solution:**

**P = 2(l + w)**

**26cm = 2(7cm + w)**

**w = 6cm**

**Requested by: Zohaib**

**Question 22:**

**Find the area of a rectangle with length 8cm and width 6cm.**

**Solution:**

**A = lw**

**A = 8cm x 6cm**

**A = 48cm^2**

**Requested by: Zohaib**

**Question 23:**

**Find the perimeter of a rectangle with length 12cm and width 2cm.**

**Solution:**

**P = 2(l + w)**

**P = 2(12cm + 2cm)**

**P = 28cm**

**Requested by: Zohaib**

**Question 24:**

**A rectangle has an area of 48cm^2 and a width of 8cm. ****What is the length of the rectangle?**

**Solution:**

**A = lw**

**48cm^2 = 8cm x l**

**l = 6cm**

**Requested by: Zohaib**

**Question 25:**

**A rectangle has a perimeter of 24cm and a width of 3cm. ****What is the length of the rectangle?**

**Solution:**

**P = 2(l + w)**

**24cm = 2(l + 3cm)**

**l = 9cm**

**Requested by: Zohaib**

**Question 26:**

**A rectangle has an area of 45 square meters. If its length is 9 meters, what is its width?**

**Solution:**

**A = lw**

**45 sq m = 9m x w**

**w = 5m**

**Requested by: Zohaib**

**Question 27:**

**A rectangle has a length of 15 feet and a perimeter of 50 feet. What is its width?**

**Solution:**

**P = 2(l + w)**

**50ft = 2(15ft + w)**

**50ft = 30ft + 2w**

**20ft = 2w**

**w = 10ft**

**Requested by: Zohaib**

**Question 28:**

**The perimeter of a rectangle is 60cm and its length is 16cm. What is its width?**

**Solution:**

**P = 2(l + w)**

**60cm = 2(16cm + w)**

**60cm = 32cm + 2w**

**28cm = 2w**

**w = 14cm**

**Requested by: Zohaib**

**Question 29:**

**A rectangle has an area of 96 square centimeters and a length of 12 centimeters. What is its width?**

**Solution:**

**A = lw**

**96 sq cm = 12cm x w**

**w = 8cm**

**Requested by: Zohaib**

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