Question

In fig. 21.ABCD is a parallelogram, DL is perpendicular on AB. If AB=20cm, AD=13cm and area of the parallelogram is 100centimeter square. Find AL.?

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

From the figure we have ABCD is a parallelogram with base AB = 20 cm and corresponding altitude DL.

Given,area of the parallelogram ABCD = 100 cm2

We know that the area of a parallelogram = Base x Height

Therefore, 100 = AB x DL 100

= 20 x DL DL

= 100/20

= 5 cm,

By Pythagoras theorem,(AD)2 = (AL)2 + (DL)2 (13)2

= (AL)2+ (5)2 (AL)2

= (13)2 – (5)2 (AL)2

= 169 – 25

= 144

We know that 122 = 44 (AL)2 = (12)2 AL = 12 cm

Hence, length of AL is 12 cm.

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