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

What Is The Area Of Trapezoid KLMOA 224cm2B 112 Cm2C 128 Cm2D 96 Cm2 class=

Sagot :

Given:

The length of the bases of the trapezoid

[tex]\begin{gathered} KL=a=12cm \\ \\ OM=b=16cm \end{gathered}[/tex]

Height of the trapezoid:

[tex]LN=h=8cm[/tex]

Required:

The area of trapezoid KLMO

Explanation:

The formula for area of trapezoid is given by

[tex]A(trapezoid)=\frac{a+b}{2}\times h[/tex]

Substituting the given values in the above equation we get

[tex]\begin{gathered} A(trapezoid\text{ }KLMO)=\frac{a+b}{2}\times h \\ \\ A(trapezoid\text{ }KLMO)=\frac{12+16}{2}\times8=\frac{28}{2}\times8=14\times8=112cm^2 \end{gathered}[/tex]

Final answer:

The area of trapezoid KLMO is 112 sq.cm

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