Question

A square room has an area of 14,400 square

inches. What is the length of a side of the
room in inches?

Answer 1

120 INCHES IS THE SIZE OF THE ROOM.

Explanation:

120 is the answer because A(Area) = L(Length) x W(Width)

The area for formula is , where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula .

Now you can substitute 14,400 for A, since that's the area. this brings us to . To solve the equation, just find the square root of both sides.

The square root of is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)

Answer 2

120 inches

Explanation:

The area for formula is
`A=l*w`, where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula
`A=l^(2)`.

Now you can substitute 14,400 for A, since that's the area. this brings us to
`14400=l^(2)`. To solve the equation, just find the square root of both sides.

The square root of
`l^(2)` is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)