The perimeter of the rectangle is 80 cm. What are the length and width of the rectangle if the width
September 1, 2021 | education
| The perimeter of the rectangle is 80 cm. What are the length and width of the rectangle if the width is 4 times less than the length?
The solution of the problem:
We will solve the problem using an equation with one unknown.
1. The width of the rectangle is x centimeters.
2. Let’s calculate what is the length of the rectangle.
x * 4 = 4x centimeters.
3. Let’s compose and solve the equation.
(x + 4x) * 2 = 80;
10x = 80;
x = 80/10;
x = 8;
4. Find the width of the rectangle.
x = 8 centimeters.
5. What is the length of the rectangle?
4 * x = 4 * 8 = 32 centimeters.
Answer: The width of the rectangle is 8 centimeters, the length of the rectangle is 32 centimeters.
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