3. Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
(a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
(b) Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
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Respuesta :

The length of the rope Leo needs to purchase will be 45.3125 ft.

How can you find out surface area ?

Surface area is calculated for common forms such as circles, triangles, parallelograms, rectangles, trapezoids, and so on.

When a form that isn't a standard figure appears, we slice it into standard shapes to get its area. The area of those component forms is then calculated and added together.

The surface area of the prism is,35 ft²

[tex]\rm A_s=2\times A_b+P\times h \\\\ 35=2 \times 3 +BP \times 3.2\\\\\ 35=6+3.2 BP\\35-6=3.2BP\\\\ BP=\frac{29}{3.2} \\\\BP=9.0652\ ft[/tex]

The length of the rope Leo needs to purchase;

L=5 ×9.0652

L=45.3125 ft

Hence,the length of the rope Leo needs to purchase will be 45.3125 ft.

To learn more about the area of a composite figure, refer:

https://brainly.com/question/10254615

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