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adoni [48]
4 years ago
9

Parallelogram abcd is shown below with ad= 10 cm and aecf is a square with side a side length of 8 cm. determine the area of abc

d in square centimeters.

Mathematics
1 answer:
Lostsunrise [7]4 years ago
5 0

Answer:

112 Square Centimeters.

Step-by-step explanation:

The diagram of the problem is attached.

In Right Triangle ADF, we find the length of DF using Pythagoras Theorem.

10^2=8^2+|DF|^2\\|DF|=\sqrt{100-64} =\sqrt{36} =6cm

Therefore:

Base of the Parallelogram =|DF|+|FC| =6+8=14cm

Area of a Parallelogram=Base X Height

Therefore, Area of ABCD=14 X 8

=112 Square Centimeters.

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