Question

A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed painting in terms of h? A. 2.5h2 B. 2.5h2 + 6 C. 2.5h2 + 36 D. 2.5h2 + 21h + 36​

Answer 1

Answer:

2.5h^2 + 21h + 36

Step-by-step explanation:

Height = h

width = 2.5h

border = 3 in.

Overall height = h+6

Overall width = 2.5h+6

Overall area

= (h+6)(2.5h+6)

= 2.5h^2 + 15h + 6h +36

= 2.5h^2 + 21h + 36