Question

A rectangle, with a length of (3x+7) and a width of (4x+8), has a square with a side length of (2x+5) cut out of it. Find the simplified solution form expression to represent the remaining area.

I’ll give points + brainalist

Answer 1

Answer: 8x^2+72x+81

Explanation:

Hi! I'm not sure if my answer is correct, but please check! Hope it helps.

First the rectangles area is l x w = (3x+7)(4x+8) = 12x^2+52x+56

Because there is a square cut out, we need to find the area of the square and subtract that from the area of the rectangle.

Square Area: (2x+5)(2x+5)= 4x^2+20x+25

Subtract the two areas: 12x^2+52x+56 - 4x^2+20x+25

Which would simplify to 8x^2+72x+81