The area of one rectangle is equal to the area of the other rectangle.

The area of one rectangle is equal to the area of the other rectangle. The length of the first rectangle is 18 cm and the width is 15 cm. What is the Width of the second rectangle if its length is 27 cm?

The area of a rectangle is equal to the product of the lengths of its two adjacent sides (length and width).
Find the area of the first rectangle:
S1 = 18 * 15 = 270 (cm ^ 2).
Since the areas of the first and second rectangles are equal: S1 = S2 = 270 (cm ^ 2).
Let the width of the second rectangle be x, then its area:
S2 = 27 * x = 270 (cm ^ 2);
x = 270: 27;
x = 10 (cm).
Answer: The width of the second rectangle is 10 cm.