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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 55-70, set up an equation and solve each problem. (Objective 2)

The perimeter of the rectangle is 32 inches, and the area is 60 square inches. Find the length and width of the rectangle.

To determine

To solve:

Each problem by setting up equation.

Length and width of a rectangle such that perimeter is 32 inches and the area is 60 square inches.

Explanation

Approach:

Perimeter of a Rectangle:

The Perimeter equals 2 times the length(L) plus 2 times the width(W).

Area of a rectangle:

A = length × width

Calculation:

Let, length of the rectangle be x.

The width of the rectangle be y.

Given,

Perimeter is 32 inches.

Area is 60 square inches.

From above approach we get,

2x+2y=32..........(1)

xy=60...........(2)

Solve equation (1) and (2) we get,

2x+2y=32

x+y=16     y=16x..........(3)

Substitutingequation(3)in(2)weget,xy=60x(16x)=60

The quadratic equations are generally in the form x2+(a+b)x+(ab)=0

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