Question

What is the area of trapezoid KLMO?A) 224cm^2B) 112 cm^2C) 128 cm^2D) 96 cm^2

Answer 1

Given:

The length of the bases of the trapezoid

`\begin{gathered} KL=a=12cm \\ \\ OM=b=16cm \end{gathered}`

Height of the trapezoid:

`LN=h=8cm`

Required:

The area of trapezoid KLMO

Step-by-step explanation:

The formula for area of trapezoid is given by

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

Substituting the given values in the above equation we get

`\begin{gathered} A(trapezoid\text{ }KLMO)=(a+b)/(2)* h \\ \\ A(trapezoid\text{ }KLMO)=(12+16)/(2)*8=(28)/(2)*8=14*8=112cm^2 \end{gathered}`

Final answer:

The area of trapezoid KLMO is 112 sq.cm