Question

Find the area of trapezoid JKLM. Round the answer to the nearest tenth.
A 41.2 in.
B. 103.3 in.
C. 144.5 in.?
D. 181.9 in.

Answer 1

from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.

likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}$

Answer 2

The area of the given trapezoid JKLM is 144.5 in². Hence, option C is the right choice.

What is the area of a surface?

The area is the two-dimensional space within the closed boundary of its surface.

How is the area of a trapezoid determined?

The area of a trapezoid is found using the formula:

Area = (1/2)(sum of parallel sides)(the distance between the parallel sides).

How to solve the question?

In the question, we are asked to find the area of trapezoid JKLM.

We will determine the area of the trapezoid using the formula:

Area = (1/2)(sum of parallel sides)(the distance between the parallel sides).

In trapezoid JKLM, JK and ML are two parallel sides and the distance between them is given by the perpendicular from M to JK, which we take as MN.

Therefore, the area of the trapezoid JKLM = (1/2)(JK + ML)(MN),

or, the area of the trapezoid JKLM = (1/2)(24.3 + 9.7)(8.5) in²,

or, the area of the trapezoid JKLM = 0.5*34*8.5 in² = 144.5 in².

Hence, option C. 144.5 in² is the right choice.

Learn more about the area of a trapezoid at

https://brainly.com/question/12173427

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