Question

This figure is made up of a rectangle and parallelogram.

What is the area of this figure?



Enter your answer in the box. Do not round any side lengths.


units²

Answer 1

The correct answer is 51 units²

Answer 2

The area of the parallelogram would be:
parallelogram area= length * width= 4*3=12

The area of the rectangle is count by multiplying the length and wide. In this picture, the length and wide is on diagonal line so you need to apply c^2= a^2+b^2 to find them.

length
length^2= a^2+b^2
length^2= 6^2+9^2
length^2= 117
length=√117

width
width^2= a^2+b^2
width^2= 2^2+3^2
width^2= 13
width= √13

rectangle area= length*width
rectangle area=√13*√117= √1521=39

Total area= 12+39= 51