Find the dimensions of a rectangle with a perimeter 100m whose area is as large as possible.

Solution:

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

In order to have a maximum area of rectangle , the dimensions should be equal.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By further calculation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

---

Find the dimensions of a rectangle with a perimeter 100m whose area is as large as possible.

Summary:

The dimensions of a rectangle with a perimeter 100m whose area is as large as possible is 25m × 25m.