Q:

One of the sides of a parallelogram is 4.2 cm and the altitude to that side is 3.6 cm. Find the perimeter of the parallelogram if the altitude to the other side is 2.4 cm.

Accepted Solution

A:

Area of parallelogram = base * height
base 1 = 4.2 cm
height 1 = 3.6 cm
∴ Area = 4.2 * 3.6 = 15.12

let the other base 2 = x
∴ the altitude of this base = height 2 = 2.4
∴Area = 2.4 x = 15.12
Solve for x
                 ∴ x = 6.3 cm

∴ The perimeter of parallelogram = 2( base 1 + base 2)
                                                      = 2 ( 4.2 + 6.3 ) = 21 cm