Question

One container of fertilizer covers 900 square feet. A property has a rectangular backyard that is 30 feet long and 20

Answer 1

Answer:

82.67% of the fertilizer will be used on the property.

Step-by-step explanation:

Area of Plane Figures

The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.

The area of a rectangle is calculated by:

$A_r=L*W$

And the area of a triangle is:

$\displaystyle A_t=\frac{B*H}{2}$

All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.

The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:

$A_r=30*20=600\ ft^2$

$\displaystyle A_t=\frac{24*12}{2}=144\ ft^2$

The total area of the backyard is:

$A=600\ ft^2+144\ ft^2=744\ ft^2$

To find the percentage of the container, we calculate:

$\displaystyle \frac{744}{900}*100\%=82.67\%$

82.67% of the fertilizer will be used on the property.