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charle [14.2K]
3 years ago
13

Find the area in square centimeters of the composite shape shown below. Enter only a number as your answer.

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

136 cm^2

Step-by-step explanation:

you can divide the shape into two shapes:

first : draw a line ⊥ to BC from point E to point F

rectangle : DCEF : Area = L*W=7*13=91 cm^2

the other shape AEBF is a trapezoid:

Area of AEBF= [(a+b)/2] h where a and b are the base and h is the height

height =18-13=5

a=7, b=11

A=[(7+11)/2]*5=45 cm^2

add the two areas : 45+91=136 cm^2

hope it works, many ways to find the area

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