Question

Christopher’s backyard is shaped like a rectangle with a length of 2x + 5 feet and a width of 4x - 7 feet.

A. Use the FOIL method to write an expression for the area of his backyard

Answer 1

8x² + 6x - 35

Explanation:

A = (2x + 5)(4x - 7)

Front: 2x * 4x = 8x²

Outside: 2x * (-7) = -14x

Inside: 5 * 4x = 20x

Last: 5 * -7 = -35

Add up: 8x² - 14x + 20x -35

Simplify: 8x² + 6x - 35