Question

Find the area of the shaded region.

Answer 1

18 foot squared is the answer

Answer 2

Answer:

$18 ft^2$

Step-by-step explanation:

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

Area of a trapezoid:

 $A = \frac{a+b}{2}h$

Plug values in:

$A = \frac{6+12}{2}(6)$

Add 6 and 12:

$A = \frac{18}{2}(6)$

Simplify:

$A = 54$

Area of a triangle:

$A = \frac{1}{2}bh$

Plug values in:

$A = \frac{1}{2}(6)(12)$

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