# Find the length and width of a rectangle that has the given perimeter and a maximum area? Perimeter: 164 meters

##### 1 Answer

Apr 12, 2017

The Reqd. Dims. of the Rectangle for Maximum Area are

#### Explanation:

Let

Its Perimeter is

Now, **Area**

write it as

We are reqd. to maximise

We know that, for

Further,

Thus,

Hence, the reqd. dims. of the rectangle for maximum area are

**Enjoy Maths.!**