The areas of the two rectangles are the same, but one of them is 1.5 times

| May 19, 2021 | education

The areas of the two rectangles are the same, but one of them is 1.5 times the length of the other. Compare the width of the first rectangle with the width of the second.

Definition: the area S of a rectangle, the sides of which are A and B, is determined by the formula:
S = A * B.

1. Let’s denote the length and width of the first rectangle through A1 and B1, and the length and width of the second one through A2 and B2.

2. Since their areas are equal, the equality is true: A1 * B1 = A2 * B2.

3. By condition, the length of the first rectangle is 1.5 times the length of the second.
That is: A1 = 1.5 * A2.

4. Substitute this ratio in the equality of point 2. We get: 1.5 * A2 * B1 = A2 * B2. Hence B2 = 1.5 * B1.

Answer: the width of the first rectangle is 1.5 times less than the width of the second.



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