What is the effect on the perimeter of a rectangle if the dimension are doubled what is the effect on its area?

Answer 1

Let's take a look at this problem.

Rectangle Perimeter = 2(l + w)

Rectangle Perimeter =? 2(2l + 2w)

Rectangle Perimeter =? (2)(2)(l + w)

2(Rectangle Perimeter) = 2[2(l + w)]

Thus, we can say that the perimeter of a rectangle is doubled when its dimensions are doubled.

Rectangle Area = lw

Rectangle Area =? (2l)(2w)

Rectangle Area =? 4lw

4(Rectangle Area) = 4lw

Thus, we can say that the area of a rectangle is quadruplicated when its dimensions are doubled.