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?
A.
360 squares
B.
120 squares
C.
84 squares
D.
40 squares
Making sense of your typing:
"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?"
The wall hanging is 36 inches by 30 inches, both are multiples of 3, so
there is no partial squares needed
the area of that hanging is 1080 square inches
each of the small squares has an area of 9 square inches, so
he needs 1080/9 or 120 of those squares
or, we can put 12 squares along the side measuring 36 inches
we can put 10 squares along the shorter side of the wall hanging, so
we need 12*10 or 120 small squares.
120
Correct! Matt needs 120 quilt squares to make the rectangular wall hanging.
To find out how many quilt squares Matt needs, we need to calculate the area of the rectangular wall hanging and divide it by the area of each quilt square.
First, let's convert the dimensions of the wall hanging into inches to match the unit of the quilt squares:
1 yard = 3 feet = 36 inches
21/2 feet = 21/2 * 12 = 30 inches
Now, let's calculate the area of the wall hanging:
Area = length × width = 36 inches × 30 inches = 1,080 square inches
Next, let's calculate the area of each quilt square:
Area of each quilt square = side × side = 3 inches × 3 inches = 9 square inches
Finally, divide the area of the wall hanging by the area of each quilt square to find the number of quilt squares needed:
Number of quilt squares = Area of wall hanging ÷ Area of each quilt square = 1,080 square inches ÷ 9 square inches = 120 squares
Therefore, Matt needs 120 quilt squares, so the answer is option B.