Question

What happens to the area of a rectangle if we mul-tiply both its length and width by 2? by 3? by 10? by n?

Answer 1

original area= A= l*b
if we multiply both its length and width by 2
new area = 2l*2b = 4l*b = 4A
if we multiply both its length and width by 3
new area = 3l*3b = 9l*b = 9A
if we multiply both its length and width by n
new area = nl*nb = (n^2)l*b = (n^2)A

Answer 2

I agree with Hoblos.

Answer 3

by 2 ----> multiplication by 2^2 or 4
by 3 -->multiplied by 3^2 or 9
by 10 ---> multiplied by 10^2
by n ----> multiplied by n^2