1 Answer

Justin Whitney · Answer 1 · 2021-10-22T17:48:17+0000

Answer:
$2.70\ quarts\approx3\ quarts$

Explanation:

The area of a rectangle can be calculated with this formula:

A_r=lw

Where "l" is the lenght and "w" is the width.

And the area of triangle can be found with this formula:

A_t=(bh)/(2)

Where "b" is the base and "h" is the height.

First:

- Convert inches to feet:

$(30\ in)((1\ ft)/(12\ in))=2.5\ ft$

- Convert the mixed number to decimal number:

30(1)/(10)=30+0.1=30.1

You can identify that the ramp is formed by three rectangles and two equal right triangles.

Since the bottom of the ramp does not have to be stained, you need to find:

1. The area of the smaller rectangle:

$A_1=(2.5\ ft)(6\ ft)=15\ ft^2$

2. The area of the larger rectangle on the top:

$A_2=(30.1\ ft)(6\ ft)=180.6\ ft^2$

3. The area of the triangles:

$A_3=A_4=((30\ ft)(2.5\ ft))/(2)=37.5\ ft^2$

Add the areas:

$Total=15\ ft^2+180.6\ ft^2+37.5\ ft^2+37.5\ ft^2=270.6\ ft^2$

Since a quart of stain covers
100 ft^2 , for
$270.6\ ft^2$ you need to buy:

$(270.6)/(100)=2.70\ quarts\approx3\ quarts$

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