Question

Using the picture below find the area of the trapezoid ?

Answer 1

(a) 8x-16
`cm^2`

Explanation:

From the given figure of trapezoid:

Height, h=8 cm

Bases,
`b_1=(x-6)cm \; and \; b_2=(x+2)cm`.

Area of the trapezoid,

`A=\frac 1 2 h (b_1 + b_2) \\\\=\frac 1` 2 * 8 ( x-6+x+2) \\\\=4(2x-4) \\\\`

`=8x-16 cm^2`

Hence, option (a) is correct.