Question

Find the area of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.

• A. 112.50
• B. 125.20
• C. 145.30 s
• D. None of these

Answer 1

The correct option is A 112.50

Let the side of the square be $x$
Thus,
${15}^2=x^2+x^2$
$=>225=2x^2$
$=>x^2=112.5$
$=>x=10.61$
Thus, area of the square $=x^2=112.5$ sq. m
Perimeter $=4x$
$=4\times 10.61$
$=42.43$ m