Question

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.

Answer 1

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