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.