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Q25.

Expert-verifiedFound in: Page 427

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

Length of the diagonal is d

The length of the diagonal is d

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

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

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 $\frac{{d}^{2}}{2}.$

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