Answered: Find the area of a 60 inch wide screen…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section: Chapter Questions

Problem 16CR

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Find the area of a 60 inch wide screen TV by with t ratio 4:3.

Expert Solution

Step 1

Note that the size 60 inches of a tv screen represent that the length of the diagonal of the tv screen is 60 inches. We are given the t ratio of the tv screen to be 4:3. Let the ratio constant be x. Then we get the lengths and widths of the tv screen to be 4x and 3x respectively.

Using the Pythagoras theorem, we get

${(4 x)}^{2} + {(3 x)}^{2} = 60^{2} \Rightarrow 16 x^{2} + 9 x^{2} = 3600 \Rightarrow 25 x^{2} = 3600 \Rightarrow x^{2} = 144 \Rightarrow x = 12$

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