Question

The perimeter of the rectangle is 42 centimeters. The length of the rectangle can be represented by (x+4), and its width can be represented by (2x - 7). The perimeter of the rectangle can be found using P = 21 + 2w. What are the dimensions of this rectangle in centimeters?

Answer 1

Length=12 and Width=9

Explanation:

Answer 2

First, we will find the value of x

Using P = 21 + 2w

l= (x+ 4) and w =(2x - 7) P=42

substituting the above into the equation

42 = 2(x+4) + 2(2x-7)

open the parenthesis

42 = 2x +8 + 4x - 14

42 = 6x - 6

add 6 to both-side of the equation

42 + 6 = 6x -6 + 6

48 = 6x

divide both-side of the equation by 6

48/6 = 6x/6

8 = x

x=8

The length of the rectangle = x + 4 = 8 + 4 = 12cm

The width of the reactangle = 2x - 7 = 2(8) - 7 = 16-7 =9cm

The dimensions are 12cm by 9cm