The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface.
A playground is made up of a rectangle and a triangle. The rectangle has a base of 40 feet and height of 25 feet. The triangle has a base of 22 feet and height of 20 feet.
One ton of mulch will cover 122 square feet at the needed depth. How many tons of mulch should the committee order?
The area of the rectangular section is
ft2.
The area of the triangular section is
ft2.
The total area of the playground is
ft2.
The committee should order
tons of mulch.
Answers
Step-by-step explanation:
Okay, so to figure out the area of a rectangle, the equation is base times height.
40*25=1000
So the area of the rectangle is 1000 square feet.
The formula for the area of a triangle is base times height divided by 2.
22*20=440
440/2=220
So the area of the triangle is 220 square feet.
Therefore, combining this, the total area of the playground is 1,220 square feet.
Since one ton of mulch covers 122 square feet, divide the total area of the playground by the amount 1 ton covers.
1220/122=10
You would need 10 tons of mulch to cover the playground.
a)The area of the rectangular section is 1000 ft2.
b)The area of the triangular section is 220 ft2.
c)The total area of the playground is 1220 ft2
d)The committee should order 10 tons of mulch.
What are the areas of a rectangle and a triangle?The area of a rectangle is the product of length and breadth while the area of a triangle is the half of the product of the base and the height.
The area of the rectangular part = 40*25 =1000 square feet
The area of the triangular part = 0.5*22*20 =220 square feet
Total area to cover =1000+220 =1220 square feet
Given that 1 ton of mulch will cover 122 square feet
Or, 122 square feet area will be covered by= 1 ton of mulch
So, 1 square feet area will be covered by= (1/122) ton of mulch
So, 1220 square feet area will be covered by=(1/122)*1220 =10 tons of mulch.
Thus, a)The area of the rectangular section is 1000 ft2.
b)The area of the triangular section is 220 ft2.
c)The total area of the playground is 1220 ft2
d)The committee should order 10 tons of mulch.
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