Question

How to find the answers to nine and ten? Please show your work.

Answer 1

Nine
Comment
The figure consists of 2 figures, a rectangle and a trapezoid. You should break them up and find the area of each separately and add to get the total.

Rectangle.
Area = L * W
L = 40 yd
W = 25 yd.
Area = 40 * 25 = 1000 square yards.

Trapezoid
B1 = 40 yards
B2 = 65 yards
H = 55 - 25 yards
H = 30 yards
Area = (B1 + B2)* H / 2
Area = (40 + 65)*30 / 2   Add the 2 bases together.
Area = ( 105) * 30 / 2      You can divide either the 30 or the 105 by 2. Do the 30
Area = (105) *15
Area = 1575 square yards.

Find the total Area
Total Area = rectangle + trapezoid
Total Area = 1000 + 1575
Total Area = 2575     <<<<< Answer

Ten
Comment
Assume the other side has no windows or doors. Both sides consist of 1 triangle and 1 rectangle.

Problem A
Rectangle
Area = l * w
L = 28 feet
W = 8.5 feet
Area = 28 * 8.5
Area = 238 square feet.

Triangle
Area = 1/2 Base * Height
Base = 28 feet
Height = 12.5 - 8.5
Height = 4
Area = 1/2 * 28 * 4
Area = 56 square feet. 

Total Area (1 Side)
Total Area (1 Side) = 56 + 238
Total Area (1 side) = 394

Total Area (Both sides)
Total Area (both sides) = 2 * 294
Total Area (both sides) = 588 square feet. 

Problem B
Comment
You have 588 square feet. First figure out the number of bundles and then calculate the cost.

Bundles
Bundles = Total Square Feet (Rounded up) / 100
Bundles = 588 / 100 = 5.88 bundles.
But you cannot buy 0.88 bundles So you have to round up, otherwise you'll have a bit of the building uncovered. 

You may not care in reality, but the question does. So your answer is that you have 6 bundles. 

Cost
1 bundle costs 75 dollars.
6 bundles cost x 

1/6 = 75 / x
x = 6 * 75
x = 450 dollars <<<<< Answer 10B