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Matt is cutting quilt squares measuring 3 inches on each side he wants to use them to make a rectangular wall hanging measuring 1 yard by 2/1/2 feet how many quilt squares does he need

2 Answers

6 votes

Answer:240

Explanation:

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User Tugrul Emre Atalay
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6 votes

Hello!

The answer is:

Matt will need 120 quilt squares.

Why?

To solve the problem, we need to calculate the area of the wall and then, calculate how many quilt squares are needed.

We know that the wall measures 1 yard and 2 1/2 feet, also we know that the quilt squares measures 3 inches.

First, we need to conver the units:

So, converting we have that:


1yard=36inches

Also,


1feet=12inches


2.5*1feet=2.5*12inches


2.5feet=30inches

For the wall:

Calculating the area of the wall, we have:


Area_(rectangle)=base*height\\\\Area_(rectangle)=36inch*30inch=1080inch^(2)

For the quilt squares:

Calculating the area of the quilt square, we have:


Area_(square)=side*side\\\\Area_(square)=3inch*3inch=9inch^(2)

Therefore, to calculate how many quilt squares are needed, we need to use the following equation:


QuitSquaresNeeded=(Area_(rectangle))/(Area_(square))\\\\QuitSquaresNeeded=(1080inch^(2))/(9inch^(2))=120

Hence, we have that Matt will need 120 quilt squares.

Have a nice day!

User Nickcoxdotme
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