Algebra 1

Published by Prentice Hall

Chapter 4 - An Introduction to Functions - Cumulative Test Prep - Multiple Choice - Page 287: 12

Answer

The area of the Frame is 108 $in^{2}$.

Work Step by Step

To find the area of the Frame we need to find the area of the frame and picture and subtract it from the area of the picture. (1) Area of Picture = L $\times$ W = 7 $\times$ 5 = 35 $in^{2}$. (2) Area of Picture + Frame = L $\times$ W (i) The Length of the Picture + Frame equals the length of the picture plus 6 inches because the frame is 3 inches wide from both sides, so therefore L = 7 +2(3) = 13 in (ii) The width of the Picture + Frame equals the width of the picture plus 6 inches because the frame is 3 inches wide from both sides, so therefore W = 5 +2(3) = 11 in Area of Picture + Frame = 13 $\times$ 11 = 143 $in^{2}$. (3) Area of Frame = 143 - 35 = 108 $in^{2}$.

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