Question

Rectangle A is similar to rectangle B. Rectangle A has sides that are one-

half the length of the sides of rectangle B. What is the relationship between the areas of rectangles A and B?

A) The area of rectangle B is 2 times the area of rectangle A.

B) The area of rectangle B is one-half the area of rectangle A.

C) The area of rectangle B is 4 times the area of rectangle A.

D) The area of rectangle B is equal to the area of rectangle A.

Answer 1

C) The area of rectangle B is 4 times the area of rectangle A.

Explanation:

In length sit it is Rectangle B is 2 times bigger than Rectangle A but if you have to find the area you have to multiply 2 x 2= 4 that is why Rectangle B Area is 4 times bigger than Rectangle A Area

Answer 2

C) The area of rectangle B is 4 times the area of rectangle A because you need to square the amount the sides are smaller by when dealing with area. Eg rectangle B has sides twice the length of rectangle A. To get it’s area ratio, just square 2 to get 4