Nov
BACKYARD GARDENING DESIGNS
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Math Homework Help Please?
Christina is designing her dream house for a math project. She pays particular attention to the back patio because she dreams of having many backyard BBQ’s in her dream house.
In her plans, she draws a backyard that is 15 feet long and 17 feet deep. In one of the corners, she is planting Azalea bushes in a 4 foot square garden. Next to the house, she puts a fountain that is 4 feet in diameter. She is also building an outside fire pit that is a trapezoid with bases that total 36 inches and height of 24 in.
For her project, Christina also needs grass. Find the total amount of grass, in square feet, that she will need for her dream house’s backyard.
First, you have to find the following areas:
1) area of the backyard = 15 ft x 17 ft = 255 sq. ft
2) area of Azalea bushes = 4 x 4 = 16 sq. ft
3) area of fountain = pi (r^2), where r = radius = 1/2 (diameter) = pi (2^2) = 12.56
4) area of fire pit = 1/2 [ (top + bottom) x height] = 1/2 (36 in x 24 in) = 1/2 (3 ft x 2 ft) = 3 sq. ft.
Then, in order to find the amount of grass in sq. ft, you simply do the following:
area of backyard – area of Azalea bushes – area of fountain – area of fire fit
= 255 – 16 – 12.56 – 3
= 223.44 sq. ft.
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