Question

the side length ofthe square porch behind macis house is (3x + 2) feet. The porch has a perimeter of (14x - 2) feet. What are the dimensions of the porch

Answer 1

The porch is 17 ft by 17 ft

Explanation:

The perimeter of a square is

P = 4s where s is the side length

P = 4( 3x+2)

P = 12x+8

We know P = 14x-2

14x-2 = 12x+8

Subtract 12x from each side

14x-2 -12x = 12x+8-12x

2x -2 = 8

Add 2 to each side

2x-2 +2 = 8+2

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

The side is 3x+2

3*5+2

15+2

17

The porch is 17 ft by 17 ft