A prallelogram has a height of 4 cm and a base of 8 cm. After being dilated, the resulting image has an area of 8 cm2. What scale factor was applied to the base and height of the original parallelogram?

The scale factor applied was 1/2

Step-by-step explanation:

step 1

Find the area of the original parallelogram

A=bh

substtute the given values

step 2

Find the scale factor

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> scale factor

x ---> area of the dilated parallelogram

y ---> area of the original paeallelogram

so

we have

substitute

simplify

therefore

The scale factor applied was 1/2

12cm

the answer is d