the 2 perimeters of two different rectangles are equal. the width of on is x and the length of the same one is x+14. the other rectangle has the dimensions of x+2 by 7x.

Question

what is x and what is the dimensions of each rectangle

Answer 1

Rectangle 1

W= x

L= x+14

P=x+x+14

Rectangle 2

W= x+2

L=7x

P=x+2+7x

Set the Perimeters equal to each others

x+x+14=x+2+7x

simplify your equation

2x+14=8x+2

Move things over to isolate x

2x+14=8x+2

-2x+-2=-2x-2

new equation

12=6x

divide

12/6=x

2=x

plug into the width and length equations

Rectangle 1: Width= x = 2

Length= x+14 = 16

Rectangle 2: Width= x+2 = 4

Length= 7x = 14

Perimeter= 18