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Intermediate Algebra

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

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BuyFindarrow_forward

Intermediate Algebra

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

For Problems 105 –114, set up an equation and solve each problem.

The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find the dimensions of each square.

To determine

To find:

The dimension of the squares.

Explanation

Approach:

1) Like terms are terms that contain exactly the same variables raised to exactly the same powers.

2) Two like terms can be added or subtracted in any polynomial.

3) Factorize the polynomial using middle term splitting or algebraic formula.

4) If ab = 0, then a = 0 or b = 0

Calculation:

Let the side of the smaller and bigger squares be x and y.

It is given that the length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square

y=x+3

It is also given that the sum of the areas of two squares is 89 square centimeters.

x2+y2=89

Substitute y = x + 3 in x2+y2=89.

x2+(x+3)2=89x2+x2+6x+9=892x2+6x80=

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