Question

The altitude of a parallelogram is one-third of its base. If its area is 75cm square, then its altitude is​

Answer 1

Answer:

Area of Parallelogram = B x H

Base=  B

Height= 1/3 x B

75cm²=  1/3 x B x B

75cm²= B²/3

75cm² x 3= B²

225cm²=B²

√225cm²=B

15cm = B

Height=1/3 x B = 1/3 x 15 = 5 and done...

Step-by-step explanation:

Answer 2

Given :

• Altitude of the parallelogram is one-third of its base.

• Area is 72cm square.

To Find :

• It's altitude = ?

Solution :

☯ Let base of the parallelogram be x

• Altitude = x/3

• Area = 75cm²

As we know that

• Area of a parallelogram is base × height

Put the values in the formula -

Now, first of all let's find the base of the parallelogram. After finding the base, we will calculate the altitude of parallelogram.

→ x × x/3 = 75

→ x²/3 = 75

→ x² = 75 × 3

→ x² = 225

→ x = √225

→ x = 15cm

• Base = 15cm

➨ Altitude = 15/3 = 5cm

∴ Hence, the altitude of the parallelogram is 5cm.