A parallelogram has a base of 4 cm and a height of 5 cm. It has an area of 20 square cm. If the length of both the base and the height are doubled, how will the area of the new parallelogram compare to the area of the original parallelogram?

The scale factor applied was 1/2

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

a

step-by-step explanation:

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: