Question

What is the area of the polygon below?

Answer 1

C. 26 ft²

Explanation:

You can view the shape as a rectangle of 4.25x4 with two triangles attached to it. Those triangles each have a width of (8.75-4.25)/2 = 2.25 ft.

Together they form a rectangle of 2.25x4, so the balcony area can be calculated as the area of a rectangle of (4.25+2.25)x4 = 6.5x4 = 26.

Answer 2

C

Explanation:

the figure is a trapezoid

the area (A) of a trapezoid is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the perpendicular height between bases b₁ and b₂

here h = 4 , b₁ = 8.75 , b₂ = 4.25 , then

A =
`(1)/(2)` × 4 × (8.75 + 4.25) = 2 × 13 = 26 ft²