Question

Given the area of a square window is 36 ft2, what is the measure of one side? Show your work.

Answer 1

6 ft

Explanation:

We know that the formula to find the area of a square is :

Area = a² ( length × width)

According to the question they've already given the area of the square as 36ft².

So, to find the the measure of a one side, let the in unknown measure of a side be a.

• Remember that, all the sides of a square are equal to each other.

And now, using the formula let us find the value of a ( length of a one side).

`\sf \: Area = a² \\ \sf 36 = a² \\ \sf \: √(36) = a \\ \sf6ft = a`

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Answer 2

The length is 6 ft

Explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

The length is 6 ft