Rectangles A and B are similar. The area of A is 30.195 cm^2. The length of B is 6.1 cm. Each dimension of B is 2/3 the corresponding dimension of A. What is the perimeter of B?

Question

mathstudent55 · Answer

Each dimension of B is 2/3 the corresponding dimension of A.
That means (2/3)A = B
If you solve that for B, you get: A = (3/2)B
which is the same as A = 1.5B
That means every dimension in A is one-and-a-half times the corresponding dimension in B.
Since you are given that the length of B is 6.1 cm, if you multiply that by 1.5, you get the length of A.
Then use the area of A and divide by the length of A to find the width of A.
Then to find the perimeter of A, add the length + length + width + width of A.