Answer:
9 bags
Step-by-step explanation:
First we will need to calculate the area of their entire backyard, which has a shape of trapezium.
So the formula for the area of a trapezium is ![A=\frac{(a+b)*h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%28a%2Bb%29%2Ah%7D%7B2%7D)
a and b are the lenghts of the parallel sides and h is the height.
From the picture ![a=10*5=50\\b=9*5=45\\h=8*5=40](https://tex.z-dn.net/?f=a%3D10%2A5%3D50%5C%5Cb%3D9%2A5%3D45%5C%5Ch%3D8%2A5%3D40)
Then we plug into our formula
square feet
To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:
bags
This is more than 8 bags so they will need 9 bags to cover their entire yard.