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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/12r4bjqy9bupyntotfddmx6484eytufnfe.png)
Also,
![1feet=12inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t4argftqnpbch2eb3nnxomqpn1timjc1n0.png)
![2.5*1feet=2.5*12inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6qx3t2e6fnpkc2mns6gttky9kemwkugnhw.png)
![2.5feet=30inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k4m69ubobdjx25irk3rr1uv3npl4ic4nni.png)
For the wall:
Calculating the area of the wall, we have:
![Area_(rectangle)=base*height\\\\Area_(rectangle)=36inch*30inch=1080inch^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sru2xxexhibznuviv21qak8bj42jc96729.png)
For the quilt squares:
Calculating the area of the quilt square, we have:
![Area_(square)=side*side\\\\Area_(square)=3inch*3inch=9inch^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fm4fexcig8gg20pvobec2e3gcgv1tu6mq4.png)
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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/inviyuitjkf5wf8mkd7ynzphs69z7qyish.png)
Hence, we have that Matt will need 120 quilt squares.
Have a nice day!