Question

Stephon has a square brick patio. He wants to reduce the width by 2 feet and increase the length by 2 feet.

Answer 1

A

reducing one side by 2 is expressed as (x - 2) ← length

increasing the other side by 2 is expressed as (x + 2 ) ← width

the area of new patio = (10 - 2 )(10 + 2) 8 × 12 = 96 ft²

Answer 2

Answer: A. lw = (x + 2)(x – 2); 96 square feet

Step-by-step explanation:

Given: Stephon has a square brick patio. He wants to reduce the width by 2 feet and increase the length by 2 feet.

Let x be the side-length of the patio, then

The length of the patio after change = x+2

The width of the patio  after change = x-2

Then the area of the patio is given by :-

$A=lw\\\Rightarrow\ A=(x+2)(x-2)$

If the original patio measures 10 feet by 10 feet.

Then the area of the patio= $(10+2)(10-2)=(12)(8)=96$ square feet.

Hence, A is the right answer.