Question

A parallelogram has a height of 5 meters and base of 7 meters. Both height and base are multiplied by 1/5. How does the area change? *e has on the perimeter of the triangle?

Answer 1

Multiplied by the square of 1/5.

Explanation:

Base of the Parallelogram =7 meters

Height of the Parallelogram =5 meters

Area of a Parallelogram=Base X Height

=5 X 7 =35 Square meters

If both height and base are multiplied by 1/5

Base
`=7 X (1)/(5)`

Height
`=5 X (1)/(5)`

`Area =7 X (1)/(5) X5 X (1)/(5)\\=35 X ((1)/(5))^2\\=1.4 m^2`

Whenever the base and height are multiplied by the same constant, the parallelogram has been scaled.

The same constant used is a scale factor and the area of the scaled parallelogram will be:

Area of the Shape X Square of the Scale Factor.

Therefore, the area of the parallelogram is multiplied by the square of 1/5.