Arectangle a with length 10 centimeters and width 5 centimeters is similar to another rectangle b whose length is 30 centimeters. find the area of rectangle b.

Similarity means that the two rectangles have the same shape and proportions, but not the same size.

Set up a proportion for the two rectangles to find the missing width of rectangle B:



The numerator represents the length, and the denominator represents the width of the rectangles.

Cross multiply the fractions:



Divide both sides by 10 to get x by itself.



The width of the second rectangle is 15 centimeters.

The area of a rectangle is given by the following:

width * length

Multiply the width by the length to find the area of this rectangle.



The area of rectangle B is 450 square centimeters.