Question

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

Answer 1

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=1/2*18*24=216

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

add
216+900=1116

answer is D, 1116 ft^2