Question

What is the area of the figure? Answer in decimal form to the nearest hundredth.

Answer 1

35.75

Explanation:

Answer 2

Therefore, the Area of the Figure is 35.75 m².

Explanation:

Given:

The given Figure Shape is of Trapezium.

Let the Parallel sides lengths be

`a=5.5\ m\\and\\b=7(1)/(2)=(15)/(2) =7.5`

Height = 5.5 m

To Find:

Area of the Figure = ?

Solution:

The given Figure Shape is of Trapezium.

Formula for Area of Trapezium is given by

`\textrm{Area of Trapezium}=(1)/(2)* (Sum\ of\ Parallel\ sides)* Height`

On substituting the given values in the formula we get

`\textrm{Area of Trapezium}=(1)/(2)* (a+b))* Height\\ \\\textrm{Area of Trapezium}=(1)/(2)* (5.5+7.5)* 5.5\\\\\textrm{Area of Trapezium}=(1)/(2)* 71.5\\ \\\textrm{Area of Trapezium}=35.75\ m^(2)`

Therefore, the Area of the Figure is 35.75 m².