Question

This figure is made up of a rectangle and

parallelogram.

What is the area of this figure?

Do not round any
side lengths.
​

Answer 1

Area = 51 square units

Explanation:

Area of the figure given in the attachment = Area of a parallelogram ABEF + Area of a rectangle BCDE

Area of the parallelogram = Base × Height

= AB × GE

= 4 × 3

= 12 square unit

Area of rectangle BCDE = Length × Height

= BC × CD

=
`(√(9^2+6^2))* (√(2^2+3^2) )` [By Pythagoras theorem]

= (√117) × (√13)

= √1521

= 39 square units

Now total area of the figure = 12 + 39 = 51 units²