Question

this parallelogram is a scaled copy. it was scaled by a factor of ⅓. suppose you want to scale it back to its original size. what are the base and height of the original parallelogram?

Explanation:

Step1: Recall scale - factor relationship

If the scale - factor of the reduction is $k=\frac{1}{n}$, to get back to the original size, we use the inverse scale - factor $n$. Here the scale - factor of reduction is $\frac{1}{3}$, so the scale - factor to get back to the original is 3.

Step2: Calculate the original base

The base of the scaled copy is 15 cm. To find the original base $b$, we use the formula $b = 15\times3$. So $b = 45$ cm.

Step3: Calculate the original height

The height of the scaled copy is 9 cm. To find the original height $h$, we use the formula $h=9\times3$. So $h = 27$ cm.

Answer:

	Original parallelogram	Scaled copy
Height	27 cm	9 cm