Find the perimeter of the rectangle if its area is 540 centimeters squared, the sides are directly proportional to the numbers 3 and 5.
In order to find the perimeter of a rectangle, we must know the length and width of the rectangle.
P = 2 (a + b);
From the condition, we know that the area of the rectangle is 540 cm2, and we also know that the sides are proportional to the numbers 3: 5.
Let’s use the coefficient of similarity k, write down the lengths of the sides 3k and 5k.
Let’s remember and apply the formula for finding the area:
S = a * b;
3k * 5k = 540;
15k ^ 2 = 540;
k ^ 2 = 540: 15;
k ^ 2 = 36;
k = 6.
So, the sides of the rectangle are 3 * 6 = 18 cm and 5 * 6 = 30 cm.
We are looking for the perimeter of the rectangle:
P = 2 (a + b) = 2 (18 + 30) = 2 * 48 = 96 cm.
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