Question

A rettangle is 10 inches smaller than it is wide. The perimeter of the

rectangle is 80 inches. Find the length and width of the rectangle.
a. Width = 25 Length = 15
b. Width = 30 Length = 20
c. Width = 25 Length = 35
d. Width = 20 Length = 30
e.Width = 15 Length = 25
f. Width = 35 Length = 25

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Answer 1

A. Width = 25 Length = 15

Explanation:

Length = L = Width - 10

Width = W

Perimeter of a rectangle

=> 2 (L + B) = 80

=> 2 (W - 10 + W) = 80

=> 2 (2W - 10) = 80

=> 4W -20 = 80

=> 4W -20 + 20 = 80 + 20

=> 4W = 100

=> 4W/4 = 100/4

=> W = 25

Width = 25

Length = 25 - 10 = 15

So, the answer is A.