Chapter A.5, Problem 33E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

The length of a rectangle is 3 more than its width. If the area of the rectangle is 40, its dimension

To determine

**To find:**

To find the dimension of length and width by using the equation

Explanation

Consider the following condition,

“The length of a rectangle is 3 more than its width. If the area of the rectangle is 40, its dimension

Let *x *be length of the rectangle and

Since length of a rectangle is 3 more than its width.

That is,

Area of the rectangle is 40.

Given that

Then simplify the above expression by multiplying the LHS to get the following,

Then subtract 40 on both sides to get the following,

The general form of the quadratic equation is given below,

Where *a* is the number multiplied by *b* is the number multiplied by *x*, and *c* is the constant term.

Quadratic formula:

The solution for

Compare the given equation with general equation to get the following,

Therefore,

Substitute these values in equation (1) to get the following,

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