Question

Find the area of the shaded region.

Answer 1

18 foot squared is the answer

Answer 2

`18 ft^2`

Explanation:

You could calculate the area of the trapezoid and then subtract the area of the triangle.

Area of a trapezoid:

`A = (a+b)/(2)h`

Plug values in:

`A = (6+12)/(2)(6)`

Add 6 and 12:

`A = (18)/(2)(6)`

Simplify:

`A = 54`

Area of a triangle:

`A = (1)/(2)bh`

Plug values in:

`A = (1)/(2)(6)(12)`

Simplify:

A = 36

Subtract the area of the triangle from the area of the trapezoid

54 - 36 = 18

You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18