Arectangle 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