If the dimensions of a rectangle become one-fourth of the original dimensions, then area of the new rectangle will be _______of the area of the original rectangle. Enter your answer in numerical form, using the / for the fraction bar if needed.

Question

anonymous · Answer

Let the dimension be x and y..

So:

$$Area = xy$$

now both the dimensions have become 1/4 so:

(1/4)x   and  (1/4)y

$$Area(New) = \frac{1}{16}xy$$

$$Area(New) = \frac{1}{16} (Previous \quad Area)$$

kylav210 · Answer

Ohh okay! But if the whole rectangle is 1/4 smaller wouldn't the area be 1/4 smaller??

kylav210 · Answer

@waterineyes

anonymous · Answer

Yeah it is smaller..

Suppose if original area is 80 then:

$$Area(New) =\frac{1}{16} \times 80 = 5$$

kylav210 · Answer

Got it ! Thank you!(:

anonymous · Answer

Welcome dear..