John is planning to buy an irregularly shaped plot of land. Referring to the diagram, determine the total area of the land.
a. 6,400 m2
b. 5,200 m2
c. 4,500 m2
d. 4,600 m2
To ?nd the total area, include the area of region A plus the area of region B plus the area of region C. The area of region A is length times width or (100)(40) = 4,000 m2. Area of region B is bh or (40)(30) = 600 m2. The area of region C is bh or 1/2(30)(40) = 600 m2. The combined area is the sum of the previous areas or 4,000 + 600 + 600 = 5,200 m2. If you select a, you miscalculated the area of a triangle as bh instead of 1 bh. If you select c, you found only the area of the rectangle. If you select d, you found the area of the rectangle and only one of the triangles.