Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q25.

Expert-verified

Geometry

Found in: Page 427

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the area of a square with diagonals of length d

The area of the square is $(A) = \frac{d^{2}}{2}$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Length of the diagonal is d

Step 2. Concept Used.

The length of the diagonal is d

Then, the area of the square when the diagonal is given.

$A = \frac{1}{2} {(d i a g o n a l)}^{2}$

Step 3. Let’s calculate the area of square.

Put the value of diagonal into the formula and find the area.

Area of the square :

$\begin{array}{l} A = \frac{1}{2} {(d i a g o n a l)}^{2} \\ A = \frac{1}{2} {(d)}^{2} \\ A = \frac{d^{2}}{2} \end{array}$

Therefore, the area of the square is $\frac{d^{2}}{2} .$

Most popular questions for Math Textbooks

The base of a rectangle is9cm and height 4cm. What is the area?

The base of a rectangle is $8.2 c m$ and height 4cm .What is the area?

Use a calculator or the trigonometry table on page311 to find the area of each figure to the nearest tenth.

An isosceles triangle with a $32^{\circ}$ ,vertex angle and a base of 8cm

Derive a formula for the area of the triangle shown by using the formula for the area of a rectangle.

A farmer has100m of fencing with which with to make a rectangular corral. A side of a barn will be used as one side of the corral, as shown in the overhead view.

a. If the width of the corral is x , express the length and the area in terms of x.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free