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Intermediate Algebra

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

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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)

Suppose the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 56 square centimeters, find its length and width.

To determine

To solve:

Each problem by setting up equation.

Length and width of a rectangle whose area is 56 square centimetres such that length is two centimetres more than three times the width of the rectangle.

Explanation

Let, the width of the rectangle be y.

Length of the rectangle be x.

Area is 56 square centimetres.

xy=56..........(1)

x=3y+2............(2).

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

xy=56Substituteequation(2)in(1)(3y+2)y=56

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

Where, a and b are solutions of the quadratic equation

(3y+2)y=56

3y

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