Question

This is important question

Michael is putting a frame around a rectangular photograph. The photograph is 10 inches long and 8 inches wide. The frame has a uniform width of x.

What is the entire length of the frame? (__+__x)

What is the entire width of the frame? (__+__x)

Then give the area of the entire framed picture from the problem above in standard form.

(__x^2+__x+__)in^2

Answer 1

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Answer:

• length: 10 +2x inches
• width: 8 +2x inches
• area: 4x^2 +36x +80 square inches

Explanation:

The frame adds x to the picture on each side, so adds 2x to the length and 2x to the width.

The length is 10 + 2x.

The width is 8 + 2x.

__

The area is the product of length and width:

A = LW = (2x +10)(2x +8) = 4x^2 +16x +20x +80

Area = 4x^2 +36x +80 . . . square inches