Answer:
<h2>D. (42 - 2x)(32 - 2x) = 900</h2>
Step-by-step explanation:
<em>Look at the picture.</em>
The dimensions of the picture:
(42 - 2x)in × (32 -2x)in
The formula of an area of a rectangle:
A = l · w
l - length, w - width
Substitute l = (42 - 2x), w = (32 - 2x) and A = 900
(42 - 2x)(32 - 2x) = 900
Move all the x terms to one side and solve for x. 15x-10x=21-6 : 5x/5=15/5 : x=3
(5b)(-3a)
= (5*(-3))(b*a) (combine like terms)
= -15ab
The final answer is -15ab~