Find the perimeter of a rectangle if its area is 14 cm2 and its width is 4 2/3.

We are given a rectangle with an area of ​​14 centimeters² and a width of 4 2/3 centimeters. We need to find its perimeter and length, let’s get down to solving:

Since in a rectangle the length and width are equal to each other, we denote by the letter a – the length, and by the letter b – the width, then it will be true that the area is found by the formula: S = a * b, substitute the values ​​and calculate the length using this formula:

14 = 4 2/3 * a;

a = 14 * 14/3;

a = 3; therefore, the length will be equal to 3 centimeters (in fact, this will already be the width, and 4 2/3 the length, but this does not affect the solution of the problem).

Now let’s find the perimeter of the rectangle by the formula: P = 2 (a + b);

P = 2 * (4 2/3 + 3)

P = 2 * 23/3

P = 46/3 or 15 1/3 centimeters;

Answer: length – 3 centimeters, perimeter – 15 1/3 centimeters.



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