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xocamiryn6584
17.02.2022 •
Mathematics
Find the Area. Please help :-(
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Ответ:
![\bold{\huge{\orange{\underline{ Solution }}}}](/tpl/images/2662/4693/dd2f3.png)
Given :-We have given one irregular figure which is composed of parallelogram and trapezium To Find :-We have to find the area of the given irregular figure.Procedure to calculate the area of the given figure :-
{ Firstly, we will find the area of parallelogram and then we will find the area of trapezium. After that, we will add both the areas and hence we got the total area of the given figure }Let's Begin :-According to the question,
We have,
Height of the parallelogram = 5 cmBase of the parallelogram 10cmHeight of the trapezium = 6 cmLength of Parallel sides of trapezium = 7cm and 14 cmTherefore,
We know that,
Area of parallelogram
Subsitute the required values,
Thus, The area of parallelogram is 50 cm²
Now,Area of trapezium
![\bold{ =}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{× (a + b) × Height }}}](/tpl/images/2662/4693/e9894.png)
Here, ( a + b) represents the similarity of parallel sidesSubsitute the required values,
Thus, The area of trapezium is 63 cm²
Now,
The total area of the given figure
Hence, The total area of the given figure is 113 cm² .
Ответ: