the side length ofthe square porch behind macis house is (3x + 2) feet. The porch has a perimeter of (14x - 2) feet. What are th
e dimensions of the porch
1 answer:
Answer:
The porch is 17 ft by 17 ft
Step-by-step 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
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