Question

Find the area of trapezium whose parallel sides are of lengths 8cm and 14 cm and non - parallel sides are of lengths 5 cm each

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The area of trapezium is $44\ cm^2$.

Step-by-step explanation:

From the attached figure,

AB = DP = 8 cm

BP = BR = 5 cm

h can be calculated using Pythagoras theorem as :

$h^2=5^2-3^2\\\\h=4\ cm$

The area of trapezium is given by :

$A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}$

sum of parallel side is 8 + 14 = 22 cm

So,

$A=\dfrac{1}{2}\times 22\times 4\\\\A=44\ cm^2$

So, the area of trapezium is $44\ cm^2$.

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Area of trapezium

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