Question
Find the perimeter and area of a square whose diagonal is $5 \sqrt{2} \ cm$. Give your answer correct to two decimal places if $\sqrt{2}=1.414$.
✓
Answer
Diagonal of a square $=5 \sqrt{2} \ cm$
$\Rightarrow$ Side of a square $ \times \sqrt{2}=5 \sqrt{2}$
$\Rightarrow$ Side pf a square$=5 \ cm$
Thus, we have
Perimeter of a square
$=4 \times$ Side
$=4 \times 5$
$=20 \ cm$
Area of a square
$=($ Side $)^2$
$=(5)^2$
$=25 \ cm ^2 .$
$\Rightarrow$ Side of a square $ \times \sqrt{2}=5 \sqrt{2}$
$\Rightarrow$ Side pf a square$=5 \ cm$
Thus, we have
Perimeter of a square
$=4 \times$ Side
$=4 \times 5$
$=20 \ cm$
Area of a square
$=($ Side $)^2$
$=(5)^2$
$=25 \ cm ^2 .$
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