Question

Maximum area of the rectangle that can be formed with fixed perimeter 20

Answer 1

perimeter is 20

so sides can be

1. 8 and 2
2. 9 and 1
3. 5 and 5
4. 4 and 6
5. 3 and 7

from this max area can be formed from 4 that is 4 * 6=24

Answer 2

Maximum area of the rectangle that can be formed with fixed perimeter 20 is 25 square units

Solution:

Given that,

We have to find the maximum area of the rectangle that can be formed with fixed perimeter 20

We know,

Perimeter of rectangle = 2(l + b)

Where,

l is the length

b is the breadth

Then,

20 = 2(l + b)

$l + b = 10\\\\For\ maximum\ area,\\\\l \times \frac{db}{dA} + b \times \frac{dl}{dA} = 0\\\\From\ eqn\ 1\\\\l \times \frac{db}{dA} -b \times \frac{db}{dA} = 0\\\\\frac{db}{dA} (l - b) =0\\\\For\ area\ to\ be\ maximum\ , l = b\\\\Then\ consider\\\\l = b = 5\ units\\\\Then\\\\area = l \times b\\\\area = 5 \times 5\\\\area = 25\ square\ units$

Thus maximum area of the rectangle that can be formed with fixed perimeter 20 is 25 square units

Learn more:

What is the maximum area of a rectangle whose perimeter is 18cm?

https://brainly.in/question/2420503

Find the maximum area of a rectangular field which is surrounded by a rope of 100m​

https://brainly.in/question/10444589