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Maths-

General

Easy

Question

Sita has a square shaped garage with 228 square feet of floor space. She plans to build an addition that will increase the floor space by 50%. What will be the length of one side of new garage ?

hint Hint:

Use the formula of area of square.

The correct answer is: 18.5 ft.

Complete step by step solution:
Area of original garage in square shape = 228 ft²
Let the side of original garage = x
We know that the formula for area of square = x²…(ii)
On equating both, we get x² = 228
Now take square roots on both the sides, we have x = $square root of 228$
$rightwards double arrow x space equals space 15.1 space f t$
Hence length of each side of original garage = x = 15ft
Given that floor space is increased by 50% along with the original garage
$table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow 228 plus.50 left parenthesis 228 right parenthesis end cell row cell not stretchy rightwards double arrow 228 plus 114 equals 342 f t end cell end table$
Let the side of new garage = y
Then, y² = 342
Now take square roots on both the sides, we have y = $square root of 342$
$rightwards double arrow y space equals space 18.49 space f t$
Hence length of one side of the new garage = 18.5 ft.

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