Let’s denote by x cm – the width of the rectangle. Therefore, its length is (x + 3) cm.
The area of a rectangle is found as the product of its length and width. Let’s make an equation and find the required sides of the rectangle:
x * (x + 3) = 54;
x2 + 3 * x – 54 = 0;
x1 = -9 – does not fit, since this root is negative;
x2 = 6 cm – the width of the rectangle.
Let’s find its length: 6 + 3 = 9 cm.
Answer: 9 cm and 6 cm.
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