# Answer to Question #21553 in Geometry for Yani

Question #21553

Calculate the area of the rectangle when a = 4 and b = 2. Next, calculate the area when the length and width are doubled.

Does the area double? What is the ratio of the two areas you calculated?

Does the area double? What is the ratio of the two areas you calculated?

Expert's answer

1) The area of the rectangle is:

S1 = a*b = 4*2 = 8

2)When the length and width are doubled:

S2 = 2a*2b = 8*4 = 32

S2/S1 = 4.

So, the area is not doubled. It is multiplied by 2^2 = 4.

S1 = a*b = 4*2 = 8

2)When the length and width are doubled:

S2 = 2a*2b = 8*4 = 32

S2/S1 = 4.

So, the area is not doubled. It is multiplied by 2^2 = 4.

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