Question

A square painting is surrounded by a frame. The outside edges of the frame are x inches in length and there is a 4-inch border between the painting and the frame. What is the total area of the border?

Answer 1

Answer:

16x-64 square inches

Step-by-step explanation:

Given that a square painting is surrounded by a frame. The outside edges of the frame are x inches in length and there is a 4-inch border between the painting and the frame.

Thus the square frame consists of an outer square with side x inches and inner square with side x-4(2)

The area of the border

=

area of outer square-area of inner square

=x^2-(x-8)^2

= (2x-8)(8)

=16x-64

Answer 2

The total area of the frame is therefore 2(4x) + 2(4)(x-8) = 8x + 8x - 64 = 16x - 64