Question

The area of a rectangle is 30 square units.what is the largest possible perimeter of the rectangle?

Answer 1

The perimeter would be the maximum if the Length of the rectangle was 30 units and the breadth was 1 units , i.e., 62 units

Step-by-step explanation:

Area of a rectangle = length x Breadth = 30 sq units

If the area if 30, the length and breadth would be numbers which would multiple to yield 30

Thus, Area = 30 sq units

Length x Breadth = 30

The length and breadth would be the multiples of 30, i..e, 30 and 1 or 5 and 6

Case 1:

The length could be 30 units, then the breadth would be 1 unit; or vice versa

Case 2:

The length could be 6 units and breadth could be 5 units, or vice versa

If we consider Case 1;

Perimeter of the rectangle in Case 1 = 2 Length + 2 breadth

                                = 2 x 30 + 2 x 1

                                        = 62 units

Perimeter of the rectangle in Case 2 = 2 Length + 2 breadth

                        = 2 x 5 + 2 x 6

                        = 22 units

The perimeter would be the maximum if the Length of the rectangle was 30 units and the breadth was 1 units , i.e., 62 units