Find the solution to the system of equations
3x+3y+3z=27
x+3y+3z=17
x-2y-5z=0

A (area) = 620 sq. yards     So Pete will get paid $31

Step-by-step explanation:

We can cut the right side of the yard into 2 pieces, a triangle and a rectangle.

The triangle's dimensions would be 12 ft. tall and 10 ft. for the base.

The formula to find the area of a triangle is 1/2(b x h)

12 x 10 = 120     120 / 2 = 60    So the triangle is 60 sq. yards

Then for the rectangle, the dimensions are 20 x 10

20 x 10 = 200     So the area of the total right side of the yard is 260.

Then for the left side...

It is just a rectangle, and the dimensions are 30 x 12

30 x 12 = 360       So the total area of this yard is 620 sq. yards

Now, if Pete gets paid 5 cents for each square yard he mows, simply multiply 620 x 5 to figure out how many cents he will get paid:

620 x 5 = 3100

The to find that amount in dollars:

3100 / 100 = 31

So Pete will get paid $31!

Hope this helps! :)