Question

Find the area of trapezoids

Answer 1

10.5 units²

Explanation:

The area (A) of a trapezoid is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A =
`(1)/(2)` × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

Answer 2

Area is 10.5

Explanation:

We can use the trapezoid formula of

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

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5