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. 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
