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Sam created a porch that was part wooden and part concrete, as shown in the figure below.




Note: Figure not drawn to scale


If a = 18 ft, b = 24 ft, and c = 30 ft, what is the total area of the porch? Assume that the wooden part is a right triangle and the concrete part is a square.

A

186 ft2

B

102 ft2

C

1,260 ft2

D

1,116 ft2

Sam created a porch that was part wooden and part concrete, as shown in the figure below. Note: Figure not drawn to scale If a = 18 ft, b = 24 ft, and c = 30 ft class=

Verified Answer :

apologiabiology

ok
totl area=trianglearea+squarearea

traignelarea=1/2(base)(height)

squarearea=side^2

we see
a=18
b=24
c=30

c=side of the square
a=base
b=height

so
trianglearea=1/2ab=1/21824=216

squaerarea=side^2=c^2=30^2=900

add
216+900=1116

answer is D, 1116 ft^2


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