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

Answer:

Multiplied by the square of 1/5.

Step-by-step 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 $=7 X \frac{1}{5}$

Height $=5 X \frac{1}{5}$

$Area =7 X \frac{1}{5} X5 X \frac{1}{5}\\=35 X (\frac{1}{5})^2\\=1.4 m^2$

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.