Question

are 6 m and 8 m. Find the area of the trapezium.
The parallel sides of a trapezium are 65 m and 40 m. Its non-parallel sides are
39 m and 56 m. Find the area of the trapezium.
in 138 m? The distance and the difference between the​

Answer 1

Explanation:

Given the length of the parallel sides of trapezium

L1=6cm

and L2=8cm

The distance between the parallel sides D=4cm

Let us first draw a trapezium from the above given data

Now we already know the formula for the area of the trapezium which is equal to the product of the sum of parallel sides and distance between them multiplied by half as 12×(sum of parallel sides)×(distnace between parallel sides)

Area=12×(6+8)×4=12×(14)×4=7×4=28cm2

Hence, the area of trapezoid whose parallel sides are 6cm and 8cm and the distance between them is 4 cm is =28cm2

Option A is correct.

So, the correct answer is “Option A”.

Note: When a trapezoid has non parallel sides then the figure is known as irregular trapezoid then to find the area of the trapezoid we divide that geometric figure into a regular triangles or rectangles to find the area of the figure. The area of a trapezium is equal to the product of the sum of the parallel sides and the distance between them multiplied by the half which is given as 12×(sum of parallel sides)×(distnace between parallel sides