Question

What is the area of the figure?

Answer 1

We divide the figure into a triangle and a rectangle.
The formula of an area of a triangle:

`A_t=(ah)/(2)`
We have:

`a=5-1(1)/(3)=3(2)/(3)=(11)/(3)\ ft\\\\h=2\ ft`
substiutute:

`A_t=((11)/(3)\cdot2)/(2)=(11)/(3)\ ft^2`
The formula of an area of a rectangle:

`A_r=wl`
We have:

`w=5\ ft\\\\l=(1)/(3)\ ft`
substitute

`A_r=5\cdot(1)/(3)=(5)/(3)\ ft^2`
The area of the figure:

`A_F=A_t+A_r\\\\A_F=(11)/(3)+(5)/(3)=(16)/(3)=5(1)/(3)\ ft^2`