Question

The lengths of the sides of a rectangle become 4 times greater than the original measurements. Which statement is true about the rectangle?

Its area becomes 4 times greater, and perimeter becomes 20 times greater.

Its area becomes 16 times greater, and perimeter becomes 4 times greater.

Its area becomes 4 times greater, and perimeter becomes 16 times greater.

Its area becomes 20 times greater, and perimeter becomes 4 times greater

Answer 1

Let the original length and width be l and w.
then the area=l*w
perimeter=2(l+w)
Nw the lengths are made 4 times greater.
So new area becomes 4l*4w=16lw
new perimeter =2(4l+4w)
=2(l+w)*4
So Its area becomes 16 times greater, and perimeter becomes 4 times greater
is the correct option. Is that clear?

Answer 2

Thank You, that was very helpful!

Answer 3

yw.