Question

Above is the layout of a running track and inside the track is a field. If it costs $5.00 /m2 for soil for the field,

describe how you would determine the total cost to cover the field with soil. help!

Answer 1

We can think in the area as:

A rectangle of 100m by 64m

And two half circles (o a whole circle if we combine them) of diameter = 64m

Then we need to calculate the area of these two figures and then sum them.

The area of a rectangle of width W and length L is:

A = A*L

then the area of the rectangle will be:

A1 = 100m*64m = 6400m^2

The area of a circle of diameter d is:

A = pi*(d/2)^2

in this case, d = 64m

pi = 3.14

Then:

A2 = 3.14*(64m/2)^2 = 3215.35m^2

The total area of the field is:

A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2

Now, we know that the cost per square meter is $5.00

Then the total cost will be:

Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36