A family has a rectangular back yard that measures 5x+4 by 3x-2 they are building a square patio with side lengths that measure x+3. write an expression for the area of grass that will be left in the back yard after the patio is built. show your work.

Answer 1

The yard would have an area of (5x+4)(3x-2)
The deck would be (x+3)(x+3)

Multiply the binomials and then subtract the one you find for the deck from the one from the yard.

Hint the deck is x^2 + 6x +9

be sure to subtract like terms.

Answer 2

thanks, john