Question

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Answer 1

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:

$\rm A = \dfrac{a+b}{2} \times h$

Here a = 15 cm, b = 22 cm and h = 11 cm

$\rm A = \dfrac{15+22}{2} \times 11$

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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