The amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
What is a trapezoid?
It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have a trapezoid in the picture shown with dimensions.
We know the area of the trapezoid is given by:
[tex]\rm A = \dfrac{a+b}{2} \times h[/tex]
Here a = 15 cm, b = 22 cm and h = 11 cm
[tex]\rm A = \dfrac{15+22}{2} \times 11[/tex]
A = 203.5 square cm
To make the square from the trapezoid, Felicia needs to cut two triangles from the both end, as shown in the figure.
The height of the triangle = 11 cm
And base length = (22-15)/2 = 3.5 cm
The area of the triangle = (11×3.5)/2 = 19.25 square cm
Area of the two triangles = 2×19.25 = 38.5 square cm
Now the amount of fabric = 203.5 - 38.5 = 165 square cm
As the scale is given 1 cm = 2 in
1 cm ² = 4 in²
So, the amount of fabric in inches = 165×4 = 660 in²
Thus, the amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
Learn more about the trapezoid here:
brainly.com/question/8643562
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