Question

You are helping Bobby find the length and width of his garden. He knows that the area of the garden is x^2+8x+15 The length of his garden is ( x + 5 ) square feet.

a) what is the width of the garden? Explain how you came to this conclusion and what method you used (algebraic tiles, the x method, box method, etc. )

b) if x is 3 feet what would the area of the garden be? Show your work.

Answer 1

a. the garden is x^2 + 8x + 15

If the length of the garden is (x + 5) then the width will be (x + 3)

The method I used is the F.O.I.L. method

(x + 5)(x + 3) = x^2 + 3x + 5x + 15= x^2 + 8x + 15

b. x= 3 feet

(3 + 3)(5 + 3)= (8)(6)= 48 square feet

Explanation: