Let the width of the rectangle be x cm.
The length and width of the rectangle are 5: 3, that is, the length is:
5/3 * x = 5x / 3 cm.
It is known that the width is 15 cm less than the length.
Let’s compose and solve the equation:
5x / 3 – x = 15,
2x / 3 = 15,
2x = 45,
x = 22.5 cm.
5x / 3 = 5 * 22.5: 3 = 37.5 cm.
Answer: The rectangle is 37.5 cm long and 22.5 cm wide.
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