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Expert-verified Found in: Page 427 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # Find the area of a square with diagonals of length d

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

See the step by step solution

## 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.

$A=\frac{1}{2}{\left(diagonal\right)}^{2}$

## 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 :

$\begin{array}{l}A=\frac{1}{2}{\left(diagonal\right)}^{2}\\ A=\frac{1}{2}{\left(d\right)}^{2}\\ A=\frac{{d}^{2}}{2}\end{array}$

Therefore, the area of the square is $\frac{{d}^{2}}{2}.$ ### Want to see more solutions like these? 