Question

Determine the area of the figure.

Answer 1

Answer: (x + 11) cm²

Explanation:

The formula for the area of a trapezoid is
`(1)/(2)(a+b)h`, where

• a and b are the lengths of the top and bottom sides, and
• h is the height of the figure.

For this figure,
`a = 5` and
`b= x+6` (the top and bottom sides), while
`h=2` (the height).

If we suppose
`A` is the area, plugging these values in, we get

`A = (1)/(2)(5 + x + 6)*2`

`A = (1)/(2) * 2 * (x + 11)`

`A = x + 11`

All the lengths are in cm, so the area will be (x + 11) cm².