The perimeter of the rectangle is 92 cm. It is 12 cm wider by less than the length. Find the lengths of the sides of the rectangle?

To solve the problem, let’s designate the length of the rectangle as x, then the width of the rectangle will be (x – 12 cm). The sum of the length and width, multiplied by 2, will equal the perimeter, which is 92 cm.

Let’s compose and solve the equation.

(x + x – 12 cm) * 2 = 92 cm.

2 * x – 12 cm = 92 cm ÷ 2.

2 * x – 12 cm = 46 cm.

2 * x = 46 cm + 12 cm.

2 * x = 58 cm.

x = 29 cm.

Let’s find the width of the rectangle.

b = 29 cm – 12 cm = 17 cm.

Answer: the length is 29 cm, the width is 17 cm.



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