Question

One side of the parallelogram is 20cm and the corresponding altitude is 12 cm find the length of the adjacent side of the parallelogram if the height of the altitude to the adjacent side is 10 cm

Answer 1

Answe

Given one side is 20cm

Corresponding side is 12cm

Therefore area of parallelogram=1/2×20×12

=10×12=120cm

Again area og parallelogram =1/2 base× altitude

120=1/2×base× 10

=120=5×base

=base=24cm

Answer 2

Given:

One side of the parallelogram is 20cm and the corresponding altitude is 12 cm

To Find:

find the length of the adjacent side of the parallelogram if the height of the altitude to the adjacent side is 10 cm

Solution:

Side of parallelogram = 20 cm

Height corresponding to 20 cm base = 12 cm

Area of parallelogram = $20 \times 12 =240 cm^2$

Let the  length of the adjacent side of the parallelogram be x

The height of the altitude to the adjacent side is 10 cm

So, Area of parallelogram =10x

So, 10x=240

x=24

Hence the length of the adjacent side of the parallelogram is 24 cm