It helps to draw a picture so you can visualize it better.
For the rug, since the area = 144, what two numbers multiplied give you 144? You might already know that 144 is a perfect square, so 12 x 12 = 144. 12 is the length of each side of the rug.
√144 = 12
12 + 3 = 15. (Add 3 because the rug only covers a portion of the floor. The entire floor = the length of the rug + the part that isn't covered)
15 x 15 = 225 ft squared (Multiply both sides of the floor to get the area.)
225 ft squared - 144 ft squared = 81 ft squared <-- your answer
Answers:
In these exercices are ilustrated the representations of the fractions
2) Firstly, we have 3 equal segments, each one representing
, hence:
is <u>3</u> copies of
Let's prove it, taking into account we are adding fractions with the same denominator:

There are <u>4</u> equal parts that make a whole
Four copies of <u>
</u> make
or <u>1</u> whole

3) Here we have a line divided into four segments, each one of
. Hence:
This is
of a line.
is <u>4</u> lengths of

If we draw one more
we will have
or 1 whole.
Then:
<u>5</u> lengths of
make
or <u>1</u> whole.
4) In this part the answer is in the attached image. If we have two equal segments, each one of
we will have as a result
.
If we add another
segment, we will have three segments of
, having as a result 
Greatest Common Factor of 42 and 84. Greatest common factor (GCF) of 42 and 84 is 42.
Answer:
I think the answer is 33
Step-by-step explanation:
Extremely sorry if it's wrong