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

The figure represents the shape of a kitchen floor What is the area round to the nearest hundredth A 23750 ft2 B 26325 ft2 C 28475 ft2 D 29025 ft2 class=

Respuesta :

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)

Answer:

D

Step-by-step explanation:

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