Question

Find the area????????

Answer 1

Look at the picture.

We have two congruent trapezoids.

The formula of an area of trapezoid is:

`A_T=(b_1+b_2)/(2)\cdot h`

`b_1,\ b_2` - base

`h` - height

`b_1=11\\b_2=5\\h=3`

substitute:

`A_T=(11+5)/(2)\cdot3=(16)/(2)\cdot3=8\cdot3=24\ units^2`

The area of the polygon is equal:

`A=2A_T\to A=2\cdot24=48\ units^2`

Answer: b. 48 units²