Calculate the area and perimeter of a rectangle if its length is 5 1/6 cm and width is 3 1/3

| January 30, 2021 | education

Calculate the area and perimeter of a rectangle if its length is 5 1/6 cm and width is 3 1/3 cm more than it is long.

To begin with, let’s remember how the area and perimeter of a rectangle are calculated. The area of ​​a rectangle is equal to the product of length and width:

S = ab.

The perimeter of the rectangle is equal to the sum of the lengths of all its sides, since the opposite sides in the rectangle are pairwise equal, we find its perimeter by the formula:

P = 2 * (a + b).

According to the conditions of the problem, we only know the length of the rectangle and the fact that its width is 3 1/3 more than its length. First, find the width of the rectangle, and then calculate the area and perimeter:

5 1/6 + 3 1/3 = 31/6 + 10/3 = 31/6 + 20/6 = 51/6 = 8 3/6 = 8 1/2 cm.

S = 5 1/6 * 8 1/2 = 31/6 * 17/2 = 527/12 = 43 11/12 cm².

P = 2 * (5 1/6 + 8 1/2) = 2 * (31/6 + 17/2) = 2 * 82/6 = 82/3 = 27 1/3 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.