Question

The figure represents the shape of a kitchen floor. What is the area? (round to the nearest hundredth)

A) 237.50 ft2
B) 263.25 ft2
C) 284.75 ft2
D) 290.25 ft2

Answer 1

D

Explanation:

Answer 2

We would divide the shape into a rectangle and a trapezium

The rectangle is of length, 24.5 ft and width 10.75 ft

Area = 24.5 * 10.75 = 263.375 square feet.


Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft

Area of Trapezium = (1/2)*(Sum of Parallel sides)*height

= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875

Total Area = Area of Rectangle + Area of Trapezium

= 263.375 + 26.875 = 290.25

Area = 290.25 ft² (D)