Question

Minimum perimeter of a rectangle calculator.

A) Minimum perimeter is achieved when length equals width.
B) Perimeter is always constant for rectangles.
C) Minimum perimeter occurs when the rectangle is a square.
D) Perimeter depends on the units used for measurement.

Answer 1

The minimum perimeter of a rectangle is achieved when the rectangle is a square.

Step-by-step explanation:

In a rectangle, the perimeter is calculated by adding the lengths of all four sides. The statement that is true is option C) Minimum perimeter occurs when the rectangle is a square.

Let's say the length of the rectangle is l and the width is w. The perimeter of the rectangle is given by the formula P = 2(l + w).

If the rectangle is not a square, meaning l is not equal to w, then the sum l + w will be greater than 2l or 2w. This means that the perimeter will be larger than when the rectangle is a square.

Therefore, the minimum perimeter is achieved when the rectangle is a square.