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

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