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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 87-96, set up an equation and solve each of the following problems.

(Objective 8)

The area of the square is one fourth as large as the area of a triangle. One side of the triangle is 16 inches long and the altitude to that side is the same length as a side of the square. Find the length of a side of the square.

To determine

To find:

The length of a side of the square.

Explanation

Let s represents the length of a side of the square.

The area of the square is s2.

The side of the triangle is 16 inches.

It is given that, the altitude of the triangle is the same as the length of a side of the square.

It means, h=s.

The area of the triangle is 12bh.

1216s=8s

It is also given that, the area of the square is one fourth as large as the area of the triangle.

s2=14(8s).

It becomes, s2=2s.

Subtract 2s from both sides of the equation.

Therefore, s22s=2s2s

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