The length of a rectangle is 4 centimeters more than twice the its width. If the perimeter of the rectangle is 86 centimeters, find the dimensions of the rectan

Question

find the dimensions of the rectangle. 

Answer 1

Here's what we know:

P = 2l + 2w (perimeter of a rectangle)

l = 2w + 4 (length is 4 more than twice width)

P = 86 (perimeter is 86 inches)

 

Plug in the variable values:

86 = 2(2w + 4) + 2w

86 = 4w + 8 + 2w

86 = 6w + 8

78 = 6w

13 = w

 

l = 2 * 13 + 4

l = 26 + 4

l = 30

 

check:

2 * 30 + 2 * 13 = 86

60 + 26 = 86

86 = 86