Question

What is the area of ACDE?

A.
24 square centimeters
B.
30 square centimeters
C.
60 square centimeters
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Answer 1

A: square centimeters

Answer 2

Option B is correct .i.e., 30 square centimeters

Explanation:

We have to find area of ACDE.

From given figure ACDE is made up of two triangles ΔBCD & ΔABE

So, Area of ACDE = Area of ΔBCD + Area of ΔABE

Area of traingle =
`(1)/(2)* Base* Height`

⇒ Area of ACDE =
`(1)/(2)* CD* BF+(1)/(2)* AB* AE`

=
`(1)/(2)*6*2+(1)/(2)*4*12`

=
`6+2*12`

=
`30\:cm^2`

Therefore, Option B is correct .i.e., 30 square centimeters