Question

ABCD is a parallelogram, DLI AB. If AB = 20 cm, AD = 13 cm and area of the
parallelogram is 100 cm?, find AL.​

Answer 1

Step-by-step explanation:

GIVEN:-

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

It is given that the area of the parallelogram ABCD

= 100 cm^2

SOLUTION:-

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 observing the picture it is clear that we have to apply the Pythagoras theorem,

Therefore by Pythagoras theorem, we have,

(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 = 144

(AL)2 = (12)2

AL = 12 cm

Hence, length of AL is 12 cm.

Answer 2

Answer:

AL = 12centimetres

Step-by-step explanation:

Hope this helps mate