Question

The area of a parallelogram is 392 m². If its altitude is twice the corresponding base, determine the base and the altitude.

Answer 1

Area of the parallelogram = `392 m^2` 

Let the base of the parallelogram be b m.

Given:

Height of the parallelogram is twice the base 

∴ `Height=2b m` 

Area of a parallelogram = Base`xx`Height 

⇒ 392=`bxx2b` 

⇒`392=2b^2` 

⇒`392/2=b^2` 

⇒`196=b^2` 

⇒ `B=14` 

∴ Base=`14 m` 

Altitude `2xxBase 2 xx4= 28m`