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Mathematics

Grade-7

Easy

Question

The area of a square room measures $31 over 3$ m each side is __________.

$\frac{961}{9}$ sq. m
$\frac{92}{3}$ sq. m
$\frac{96}{9}$ sq. m
$\frac{61}{9}$ sq. m

hint Hint:

Use the formula of area of square (i.e side $cross times$ side) to find the area of the square room.

The correct answer is: $961 over 9$ sq. m

STEP BY STEP SOLUTION
Given side of the room = $31 over 3$ m
Area of a square room = $open parentheses s i d e close parentheses squared$ = $open parentheses 31 over 3 close parentheses squared$
$equals space 31 over 3 space cross times space 31 over 3 space equals space fraction numerator 31 space cross times space 31 over denominator 3 space cross times space 3 end fraction space equals space 961 over 9$ sq. m.
The area of square room = $961 over 9 space m squared$

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