EXAMPLE 2.6.1

SOLUTION

To solve this problem we need to find the area of the triangular region (in square feet) and multiply by the cost factor of $1.25 per square foot.

The formula for the area of a triangle is Area = (one half) times base times height.

Now, in the figure shown the measurements are expressed in yards, but we want to compute the triangle's area in square feet, not square yards. This suggests that we should convert units from yards to feet before using the formula for area. To convert from yards to feet we multiply by 3:

Now we find the area, in square feet, of the triangular region.

Finally, we multiply by the cost factor of $1.25 per square foot:

Cost = (3600 square feet) times ($1.25 per square foot) = $4500

The correct choice is C.