Question

The dimensions of a rectangle are 2 x − 5 and 3 x + 3 . Which expression represents the area of the rectangle in simplest terms? A. 6 x 2 − 9 x − 15 B. 6 x 2 − 9 x + 15 C. 6 x 2 + 9 x − 15 D. 6 x 2 − 15 x − 9

Answer 1

A

Explanation:

The area of a rectangle is the product of its dimensions, that is

A = (2x - 5)(3x + 3) ← expand using FOIL

= 6x² + 6x - 15x - 15 ← collect like terms

= 6x² - 9x - 15 → A