Question

Nicholas is covering a triangular area with mulch. The base of the area is 22 ft, and the height is 10 ft. One bag of mulch covers 8 square feet. How many bags of mulch does Nicholas need?

13 bags
14 bags
28 bags
40 bags

Answer 1

To find the answer, first find the area of the triangle, which is 1/2bh=A, so if you put the base and the height is it would be 1/2(22*10)=A or 1/2(220)=110. So the area is 110ft^2. If you then divide 110/8 to find out how many 8 ft^2 are in 110 ft^2 you get 13.75.
The answer is 14 bags.

Answer 2

Option
`14\ bags`

Explanation:

Step 1

Find the area of the triangle

we know that

The area of a triangle is equal to

`A=(1)/(2)bh`

in this problem we have

`b=22\ ft`

`h=10\ ft`

substitute

`A=(1)/(2)(22)(10)=110\ ft^(2)`

Step 2

By proportion

`(1)/(8)(bag)/(ft^(2))=(x)/(110)(bag)/(ft^(2)) \\ \\x=110/8\\ \\x=13.75\ bags`

Round to the nearest whole number