Question

A window frame has a length of (5x + 3) inches and a width of (x + 6) inches. The area of the glass in the window is (4x² + 26x + 15) square inches.

What is the area of the trim around the glass in the window?

A. (x²+3x+7) square inches
B. (9x²+33x+59) square inches
C. (x²+7x+3) square inches
D. (9x²+59x+33) square inches

Answer 1

Answer: C

Explanation:

Answer 2

C

the area (A ) of the trim is the area of the window frame subtract the area of glass

area of window frame = (5x + 3)(x + 6) = 5x² + 33x + 18

A = 5x² + 33x + 18 - (4x² + 26x + 15)

= 5x^2 + 33x + 18 - 4x² - 26x - 15 = x² +7x + 3 inches²