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Q42.

Expert-verified

Pre-algebra

Found in: Page 279

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Geometry For each rectangle below, the measure of the longer side is the length, and the measure of the shorter side is the width.
a. Which rectangle has the greatest ratio of length to width?
b. For which rectangle is the ratio of length to width closest to 1: 1?
c. Critical Thinking The ratio of another rectangle’s length to its width is 1: 1. What type of rectangle is it?

The rectangle C has the greatest ratio of length to width.
The rectangle B has the ratio of length to width closest to 1:1.
The rectangle is a square.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 . Given

Three rectangles. The measure of the longer side is the length, and the measure of the shorter side is the width.

Step 2 . To determine

We have to find the rectangle that has the greatest ratio of length to width.

Step 3 . Explanation

If the length is longer and the width is shorter than the ratio of length to width will be the greatest.

From the given rectangles, rectangle C has a shorter width and the longer length. So it has the greatest ratio of length to width

Step 1 . Given

Three rectangles. The measure of the longer side is the length, and the measure of the shorter side is the width.

Step 2 . To determine

We have to find the rectangle that has the ratio of length to width closest to 1:1.

Step 3 . Explanation

If the length and width are of the same length almost then the ratio of length to width will be closest to 1:1.

From the images we see that, rectangle B has length and width of almost same length.

So, for rectangle B, the ratio of length to width is closest to 1:1.

Step 1 . Given

The rectangle has the ratio of length to width equal to 1:1.

Step 2 . To determine

We have to state the type of rectangle that has the ratio of length to width equal to 1:1.

Step 3 . Explanation

If the ratio of length to width is 1:1, then it means the length and the width are almost same. It means the rectangle will become a square. Because squares have length equal to width.

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