Question

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 abcd in square centimeters.

Answer 1

112 Square Centimeters.

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|=√(100-64) =√(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.