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alex has created an image that he wants to enter in a art contest the rules state that all images must be framed and have an area of 80 square inches, including the frame. the image has the dimensions 7 inches by 5 inches. what is the width of the frame

Sagot :

The width of the frame for the image is about 1.5 inches.

What is an area?

Area is the amount of space occupied by a two dimensional object or figure.

Let w represent the width of the frame, hence:

Length of image and frame = 7 + w + w = 2w + 7

Width of image and frame = 5 + w + w = 2w + 5

Area of width and frame = (2w + 7)(2w + 5)

80 = 4w² + 24w + 35

4w² + 24w - 45 = 0

w = 1.5 inches

The width of the frame for the image is about 1.5 inches.

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