Question

Determine the area of the figure.

Answer 1

Answer: (x + 11) cm²

Step-by-step explanation:

The formula for the area of a trapezoid is $\frac{1}{2}(a+b)h$, 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

$A = \frac{1}{2}(5 + x + 6)*2$

$A = \frac{1}{2} * 2 * (x + 11)$

$A = x + 11$

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