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

Answer:

Area = 51 square units

Step-by-step 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

                                        = $(\sqrt{9^2+6^2})\times (\sqrt{2^2+3^2} )$ [By Pythagoras theorem]

                                        = (√117) × (√13)

                                        = √1521

                                        = 39 square units

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