Question

The parallel sides of a trapezium are 20cm and 10cm and the length of each of the non parallel sides is 13cm. Find the area of the trapezuim

Answer 1

Answer:

180 cm^2

Step-by-step explanation:

This is an isoceles trapezium, as each side is equal to 13 cm.

According to the data we have parallel side a = 20 cm

The other parallel side that is b = 10cm

And the non parallel sides say h1 and h2 as they are equal we name it h = 13cm.

Now area of trapezium is 1/2 (a+b)×H

Here H is the perpendicular distance from a to b (the parallel sides.)

So to find H we have to use pythagoras theorem and some concept of line division provided in the attachment below.

Now we can use pythagoras theorem to find H.

H²= 13²-5² as per the image and pythagoras theorem.

H= 12cm

Now area value is substituted.

Area = 1/2 (10+20)×12

Area = 180 cm²

Hope it helps

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