The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and width.
I think this is the answer:
Length = l
Width = w
2l + 2w = 80cm
l+w = 40cm
l = w+4
w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm
Answer:
Width = 18 cm
Length = 22 cm
Step-by-step explanation:
A rectangle have 4 sides . Opposite side of a rectangle is equal in size . The sum of the whole sides of the rectangle is the perimeter.
perimeter of a rectangle = L + L + W + W
perimeter of a rectangle = 2L + 2W = 2(L + W)
perimeter = 80 cm
length(L) = (4 + W) cm
using the perimeter formula,
80 = 2(4 + W + W)
80 = 2(4 + 2W)
divide both side by 2
40 = 4 + 2W
40 - 4 = 2W
36 = 2W
W = 36/2
W =18 cm
since,
length = 4 + W
W = 18 cm
length= 4 + 18
length = 22 cm