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

Answer:

Option $14\ bags$

Step-by-step explanation:

Step 1

Find the area of the triangle

we know that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

in this problem we have

$b=22\ ft$

$h=10\ ft$

substitute

$A=\frac{1}{2}(22)(10)=110\ ft^{2}$

Step 2

By proportion

$\frac{1}{8}\frac{bag}{ft^{2}}=\frac{x}{110}\frac{bag}{ft^{2}} \\ \\x=110/8\\ \\x=13.75\ bags$

Round to the nearest whole number

Answer 2

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.