Question

Please help.. nobody will help me and I’ve been asking this question so many times but nobody will answer..

I have a large, square-shaped family room that measures 27 feet on a side.
How many square yards does the floor of this room cover? (Hint: 1 yard equals 3 feet, and
1 square yard equals 9 square feet.)

Thank you.

Answer 1

Answer:

The floor covers $81yd^{2}$

Step-by-step explanation:

This question is actually easier than you think, but I am here to help.

First off you know the room is a square. All squares have equal sides no matter what, that is the number 1 basic rule. (27ft by 27ft)

1. Find the area of the square: To find area you multiply Length by Width. Since you are multiplying two units you will get a squared value. The square measures 27 ft by 27 ft on both sides.

Lets multiply those two numbers:

$(27 * 27) = 729ft^{2}$

We need to stay in the same unit because you are multiplying two values of the same unit. The total square feet of the room is $729ft^{2}$

2. Next, all you need to do is convert $ft^{2}$ to $yd^{2}$

Like you mentioned: $(1 yd^{2} = 9ft^{2})$

Now lets create a proportion between the two unit:

$\frac{729ft^{2} }{1} * \frac{1yd^{2} }{9ft^{2} }$

The $ft^{2}$ unit cross cancels and your left with $yd^{2}$.

Now all you do is multiply straight across and you get $\frac{729yd^{2} }{9} = 81 yd^{2}$