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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:

### 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 ft^{2}

Let the side of original garage = x

We know that the formula for area of square = x^{2}…(ii)

On equating both, we get x^{2} = 228

Now take square roots on both the sides, we have x =

Hence length of each side of original garage = x = 15ft

Given that floor space is increased by 50% along with the original garage

Let the side of new garage = y

Then, y^{2} = 342

Now take square roots on both the sides, we have y =

Hence length of one side of the new garage = 18.5 ft.

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