Answer:
Therefore, the Area of the Figure is 35.75 m².
Step-by-step explanation:
Given:
The given Figure Shape is of Trapezium.
Let the Parallel sides lengths be
[tex]a=5.5\ m\\and\\b=7\frac{1}{2}=\frac{15}{2} =7.5[/tex]
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
[tex]\textrm{Area of Trapezium}=\frac{1}{2}\times (Sum\ of\ Parallel\ sides)\times Height[/tex]
On substituting the given values in the formula we get
[tex]\textrm{Area of Trapezium}=\frac{1}{2}\times (a+b))\times Height\\ \\\textrm{Area of Trapezium}=\frac{1}{2}\times (5.5+7.5)\times 5.5\\\\\textrm{Area of Trapezium}=\frac{1}{2}\times 71.5\\ \\\textrm{Area of Trapezium}=35.75\ m^{2}[/tex]
Therefore, the Area of the Figure is 35.75 m².
