A rectangular piece of fabric measures 37 by 45 inches. A triangular scarf with a height of 21 inches and a base of 25 inches is cut from the fabric. How much fabric is left over?
a rectangle piece of fabric measures 37 by 41 inches. A triangular scarf with a height of 22 inches and a base of 25 inches is cut from fabric.
45*37 - (1/2)*21*25 = 2805/2 in^2
To determine the amount of fabric left over, we need to calculate the area of the rectangle and the area of the triangular scarf, and then subtract the area of the scarf from the area of the rectangle.
1. Calculate the area of the rectangle:
The area of a rectangle is calculated by multiplying its length by its width.
Area of the rectangle = length × width
Area of the rectangle = 37 inches × 45 inches = 1665 square inches
2. Calculate the area of the triangular scarf:
The area of a triangle is calculated by multiplying its base by its height and dividing it by 2.
Area of the triangle = (base × height) / 2
Area of the triangle = (25 inches × 21 inches) / 2 = 525 square inches
3. Calculate the fabric left over:
To find the fabric left over, we subtract the area of the triangle from the area of the rectangle.
Fabric left over = Area of the rectangle - Area of the triangle
Fabric left over = 1665 square inches - 525 square inches
Fabric left over = 1140 square inches
Therefore, there is 1140 square inches of fabric left over.