Question

The parallel sides of a trapezium are 60cm and 46cm. The non-parallel sides are 13cm and 15cm. Find the area of the trapezium.

Answer 1

Answer:

49 cm

Step-by-step explanation:

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Answer 2

Given:

The parallel sides of a trapezium are 60cm and 46cm. The non-parallel sides are 13cm and 15cm.

To Find:

Find the area of the trapezium.

Solution:

Let us draw a diagram so that we can easily solve the given question, so we have a trapezium ABCD with parallel sides AB and CD as 46cm and 60cm, and non-parallel sides as AD and BC as 13cm and 15cm,

To find the area of the trapezium we need to find the height or the distance between the parallel lines that are BP and AO,

In triangle BPC and AOD the hypotenuses are 15 and 13 cm and we need to find the common height which can be found by knowing the triplets which have 13 and 15 and also a common number and also the value of their bases should be, (x+y)=60-46=14cm,

there is (13,12,5) and(15,12,9) triplets with common height 12 and (5+9)=14

So the height is 12cm, now the area will be,

$A=\frac{1}{2}*Sum*height\\=\frac{1}{2} *(60+46)*12\\=636cm^2$

Hence, the area of the trapezium is 636sq.cm.