Question

Find the area of each of each region of the figure below.1010612TV6:: 24 square units:: 30 square units:: 60 square units:: 72 square units:: 96 square units:: 120 square units

Answer 1

The Solution.

To get the base of the triangles in the diagram, we use The Pythagorean Theorem as below:

`x^2+6^2=10`
`\begin{gathered} x^2=100-36 \\ x=\sqrt[]{64}=8\text{ units} \\ \end{gathered}`

So, the area of triangle is

`A=(1)/(2)bh=(1)/(2)*8*6=4*6=24units^2`

Area of rectangle 1 is

`A=l* b=12*10=120units^2`

Area of rectangle 2 is

`A=l* b=12*8=96units^2`

Area of rectangle 3 is

`A=l* b=12*6=72units^2`