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? PLEASE HELP!

Answer 1

A = 2.5h² +21h +36

Explanation:

The area of the framed painting is the product of its height and width.

__

The height of the framed painting is the sum of the painting height and two frame widths: H = h +6.

The width of the framed painting is the sum of the painting width and two frame widths: W = 2.5h +6

The area of the framed painting is the product of these dimensions:

A = HW

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

A = 2.5h² +21h +36 . . . . square inches