The perimeter of a rectangle is 0.36. Its length is 2 times its width. What is the area of the rectangle?
April 29, 2021 | education
| From the condition we know that the perimeter of the rectangle is 0.36. It is also known that its length is 2 times its width. In order to find what the area of the rectangle is equal to, we compose and solve a linear equation.
Let’s use the variable x to denote the width of the rectangle, then the length is 2x.
Perimeter of the rectangle: P = 2 (a + b);
2 (x + 2x) = 0.36;
6x = 0.36;
x = 0.6.
So 0.6 is the width of the rectangle and the length is 2 * 0.6 = 1.2.
We will search for the area of the rectangle by the formula:
S = a * b = 0.6 * 1.2 = 0.72.
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