Math, asked by monikadademal25, 3 months ago

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

Answered by mansa7
0

Answer:

Ans is d 561 sq. meter

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Answered by Anonymous
0

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 m^{2}. (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 m^{2}

Therefore, the area of the trapezium is 561 m^{2}.

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