Question

The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?

A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet

Answer 1

D. 1,068

Explanation:

Area of rectangle PQRU = 25 x 36 = 900 sq-ft

Consider triangle RST,

Base of triangle = TR = 36 - 12 = 24 feet

Height if triangle = 39 - 25 = 14 feet

Hence area of triangle =
`(1)/(2)` x 24 x 14 = 168 sq-ft

Total area = 900 + 168 = 1068 sq-ft

Answer 2

D.

1,068 square feet

Explanation:

Split the figure into 2 shapes: triangle and rectangle

Area of rectangle = 36 x 25 = 900 ft^2

Area of triangle = 1/2 (39-25)(36-12) = 1/2 (14)(24) = 168 ft^2

Area of the figure PQRSTU = 900 + 168 = 1068 ft^2

Answer

D.

1,068 square feet