Q.23. The two parallel sides of a
trapezium measures 40 m and 26 m
respectively. Its altitude is 17 m. Find
its area. *
O a) 456 sq.meter
Ob) 400 sq. meter
c) 561 sq.meter
D) none of these
Answers
Answer:
Ans is d 561 sq. meter
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Given:
Two parallel sides of a trapezium=40m and 26m
Altitude=17m
To find:
The area of the trapezium
Solution:
The area of the trapezium is 561 . (Option c)
We can find the area by following the given process-
We know that the area of a trapezium can be obtained by multiplying the sum of its parallel sides with its height and dividing by 2.
So, the area of a trapezium=1/2×sum of parallel sides×altitude
We are given that the altitude of the trapezium=17m
The sum of the parallel sides of the trapezium can be obtained by adding the two sides.
Using the values, we get
The sum of the parallel sides=(40+26)m
=66m
Now we will put the values in the formula to get the area of the trapezium.
The area of the trapezium=1/2×66×17
=33×17
=561
Therefore, the area of the trapezium is 561 .