Question

The shaded area of this graph shows a bird's eye view (a view from above) of a single-story building. Each division on the x and y-axis represents a distance of 2 yards. What is the square yardage of the roof of the building?

Answer 1

Explanation:

Answer 2

252 square yards.

Explanation:

To find the square yardage of the roof of the building, we need to calculate the area of the shaded triangle and the area of the shaded rectangle.

First, let's calculate the area of the triangle:

Base of the triangle = 6 divisions = 6 x 2 yards = 12 yards

Height of the triangle = 5 divisions = 5 x 2 yards = 10 yards

Area of the triangle = (1/2) x base x height

= (1/2) x 12 yards x 10 yards

= 60 square yards

Next, let's calculate the area of the rectangle:

Length of the rectangle = 8 divisions = 8 x 2 yards = 16 yards

Width of the rectangle = 6 divisions = 6 x 2 yards = 12 yards

Area of the rectangle = length x width

= 16 yards x 12 yards

= 192 square yards

To find the square yardage of the roof, we add the area of the triangle and the area of the rectangle:

Total area = 60 square yards + 192 square yards