The width of the rectangle is 40% of the length, and its perimeter is 68.6 cm. Find the area of this rectangle.
February 14, 2021 | education
| Let the length of the rectangle be equal to the variable a.
Therefore, its width can be represented as a * 40: 100 = 0.4a.
Since we know from the condition of our problem that its perimeter is 68.6 centimeters, then it is possible to write down the equation and determine its dimensions:
(a + 0.4a) = 68.6: 2;
1.4a = 34.3;
a = 24.5;
24.5 * 0.4 = 9.8.
Let’s determine what then its area will be equal to:
24.5 * 9.8 = 240.1.
Let’s translate the result into dm2:
240.1: 100 = 2.401.
Answer: 2.401 dm2.
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