Question

a parallelogram has sides 12cm and 9cm. if the distance betweenits shorter side s is 8cm find the distance between its longer side

Answer 1

Hey buddy,

◆ Answer- 6 cm

◆ Explanation-
# Given-
length of the longer side l = 12 cm
length of shorter side b = 9 cm
distance between longer sides h1 = ?
distance between shorter sides h1 = 8 cm

# Solution-
We know that
Area of the parallelogram = Length of side × distance between opposite sides

That is here,
l × h1 = b × h2
12 × h1 = 9 × 8
h1 = 6 cm

Thus, distance between longer sides h1 = 6 cm.

Hope that is helpful...

Answer 2

The distance between its longer sides is 6 cm.

Solution:

We have been given a parallelogram has adjacent sides 12cm and 9 cm and it's shorter sides is 8cm.

Find area of the Parallelogram:

Area of Parallelogram = Base × Height

Area of Parallelogram = 9 × 8 cm²

Area of Parallelogram = 72 cm²

Assume distance between its longer sides be x

Find distance between its longer sides:

Area of Parallelogram = X × 12 cm

72 cm² = 12x cm

x = 72/12

x = 6 cm

Therefore, distance between its longer sides is 6 cm.