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?
February 5, 2021 | education
| 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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