EXAMPLE 2.6.5

SOLUTION

To solve this problem we need to compute the area (in square feet) of the region to be covered with siding material, and then multiply by the cost factor of $1.50 per square foot.

The region to be covered consists of a rectangular region, plus a triangular region, minus the combined areas of the two rectangular windows and the rectangular door.

Recall that for a rectangle

Area = Length tiimes Width

Area of large rectangle = (24 feet) times (8 feet) = 192 square feet

Area of each window = (6 feet) times (4 feet) = 24 square feet

Area of door = (3 feet) times (7 feet) = 21 square feet

Recall that for a triangle

Area = (one half) times base times height

Area = (one half) times (24 feet) times (6 feet) = 72 square feet

The total area to be covered is the area of the large rectangle plus the area of the triangle minus the areas of the two windows and the door:

192 + 72 minus 24 minus 24 minus 21 = 195 square feet

Finally,

Cost = (195 square feet) times ($1.50 per square feet) = $292.50