Question

A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 80 square feet per quart. How many quarts of paint do you need to buy?

Answer 1

Answer:

You need to buy 13 quarts of paint

Step-by-step explanation:

The correct question is

A movable section of stage has the shape of a right triangle. You need to apply 2 coats of paint (Assume you will not paint the bottom of the ramp). The paint covers approximately 80 square feet per quart. How many quarts of paint do you need to buy?

The picture of the question in the attached figure

step 1

we know that

The figure show a triangular prism

The surface area of the triangular prism is given by

$SA=2B+PL-(14)(19.5)$ ----> (the area of the bottom is not included)

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the prism

we have

$B=\frac{1}{2}(14)(6)=42\ ft^2$

$P=14+6+15.2=35.2\ m$

$L=19.5\ ft$

substitute

$SA=2(42)+35.2(19.5)-(14)(19.5)=497.4\ ft^2$

step 2

You need to apply 2 coats of paint

so

Multiply the surface area by 2

$497.4(2)=994.8\ ft^2$

step 3

Divide the total square feet by 80 square feet per quart

so

$994.8/80=12.4\ quarts$

Round up

You need to buy 13 quarts of paint