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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 11: Q37. (page 427)

Draw a rectangle. Then construct a square a square with equal area.

Short Answer

Expert verified

Step by step solution

01

Step 1. Given information.

Rectangle and square.

02

Step 2. Concept Used.

The area of the rectangle is $A = l e n g t h \times b r e a d t h$

The area of the square is $A = {(s i d e)}^{2}$

03

Step 3. Let’s draw a rectangle then construct a square having equal area.

Let the dimensions of the rectangle be $8 c m \times 2 c m$

Then

Area of rectangle

$\begin{array}{l} A = l b \\ A = 8 (2) \\ A = 16 c m^{2} \end{array}$

Now

We have to find the side of square.

Since the area of rectangle is equal to area of square.

We have $\begin{array}{l} A_{s} = s^{2} \\ 16 = s^{2} \\ s = 4 c m \end{array}$

i.e

We have to draw the square of side $s = 4 c m$

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