The width of the rectangle is 2 times less than the length. Find the area of a rectangle if its perimeter is 120 meters.
June 27, 2021 | education
| We will solve this problem using the equation.
1. Let’s denote by x the width of the rectangle.
2. Find the length of the rectangle.
x m * 2 = 2x m.
3. Calculate the perimeter of the rectangle.
(x + 2x) * 2 = 3x * 2 = 6x m.
4. Let’s compose and solve the equation.
6x = 120;
x = 120: 6;
x = 20.
5. The width of the rectangle is x = 20 m.
6. Determine the length of the rectangle.
20 m * 2 = 40 m.
7. Let’s calculate the area of the rectangle.
20 m * 40 m = 800 m2.
Answer: The area of the rectangle is 800 square meters.
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