PLS HELP
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
First, we need to convert the dimensions of the wall hanging to inches so we can compare it to the size of the quilt squares:
1 yard = 3 feet = 36 inches
2 1/2 feet = 30 inches
So the wall hanging measures 36 x 30 inches
To find the number of quilt squares needed, we can divide the total area of the wall hanging by the area of each quilt square:
36 x 30 = 1080 square inches
3 x 3 = 9 square inches for each quilt square
1080 / 9 = 120
Therefore, Matt will need 120 quilt squares to make the wall hanging.
Answer: B. 120 squares
To calculate the number of quilt squares needed, we need to convert all the measurements to the same units.
1 yard is equal to 3 feet (since 1 yard = 3 feet).
Therefore, the rectangular wall hanging measures 3 feet x 2.5 feet (since 2.5 feet = 1.5 feet + 0.5 feet).
Now we need to calculate the area of the wall hanging:
Area = length x width
Area = 3 feet x 2.5 feet = 7.5 square feet
Since each quilt square measures 3 inches on each side, we need to convert the area of the wall hanging to square inches:
1 foot = 12 inches
1 square foot = 12 inches x 12 inches = 144 square inches
Area in square inches = 7.5 square feet x 144 square inches/square foot
Area in square inches = 1080 square inches
Now we can calculate the number of quilt squares needed:
Number of quilt squares = Area in square inches / Area of each quilt square
Number of quilt squares = 1080 square inches / (3 inches x 3 inches)
Number of quilt squares = 1080 square inches / 9 square inches
Number of quilt squares = 120 squares
Therefore, Matt needs 120 quilt squares to make the rectangular wall hanging.
The correct answer is B. 120 squares.