A rectangle with a length of 12 cm and a width of 6 cm has an area of 72 sq cm and a perimeter of 36 cm.

Which rectangle has dimensions that give the same area as this rectangle but different perimeter?

A.

80 cm by 90 cm

B.

8 cm by 10 cm

C.

3 cm by 24 cm

D.

4 cm by 14 cm

So we should first start off by checking for the ones with the same area, which is 72sq cm

80*90=7200sq cm so A is incorrect

8*10=80sq cm so B is incorrect

3*24=72sq cm so, so far C is correct

4*14=56sq cm so D is incorrect

And because all are incorrect except C

Then C is the correct answer, just to be sure, we will check the perimeter

24+24=48

48+3=51

51+3 = 54

So the perimeter is different, making C the correct answer

So if you replace 6 and 12 for 3 and 24 you get the same area but different perimiter