Question

The length of the base of a parallelogram is twice the length of
its altitude. The area of the parallelogram is 50 square centime-
ters. Find the length of its base and altitude. Show work

Answer 1

Greetings from Brasil...

In the statement it is said that:

b = 2h

where

b = base

h = altitude

So,

b = 2h  ⇔  h = b/2

For area:

A = b.h

as h = b/2

A = b.(b/2)

as A = 50, according to statement

50 = b²/2

b = 10

and

h = b/2 ⇒ h = 5