To Calculate: Total area of the given figure.
Answer to Problem 14PSC
The total area of the given figure is
Explanation of Solution
Given information:
There are four regions in the figure which are of equal heights. The
Formula used:
Here, we are using the formula
Area of trapezoid =
(here, “ a ” is upper base, “ b ” is lower base and “ h ” is height)
Calculation:
Here,
And for rectangle length is
Let area of rectangle FHGI be
Area of rectangle =
Now, let area of trapezium DFEG be
Upper base =
Area of trapezoid =
(here, “ a ” is upper base, “ b ” is lower base and “ h ” is height)
Hence,
Now, let area of rectangle BDEC be
Area of rectangle =
Now, let area of triangle be
Area of triangle =
Now, Total area =
→
→
Conclusion: Hence,the total area of the given figure is
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