Question

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Answer 1

64.5 in²

Step-by-step explanation:

`\sf area \ of \ trapezoid = (1)/(2) * ( a + b) *h`

Solve for the entire trapezoid:

`\hookrightarrow \sf (1)/(2) * ( 6.5 +(9.8+5.2+6.5) ) *8.6`

`\hookrightarrow \sf 120.4 \ in^2`

Solve for the unshaded rectangle:

• Length * Width

• 6.5 * 8.6

• 55.9 in²

Area of the shaded region:

• 120.4 in² - 55.9 in²

• 64.5 in²