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The perimeter of a rectangle is 24 cm. find the lengths of the sides of the rectangle giving the maximum area. enter the answers for the lengths of the sides in increasing order.

Respuesta :

dannielle
24=2*12
P=2*(l+L)
⇒ L+l=12
    ⇒ for a maximum area l=5, L=7
Area=5*7=35 

The lengths of the sides of the rectangle giving the maximum area are 7 cm and 5 cm.

The given perimeter of a rectangle is 24 cm.

We need to find the lengths of the sides of the rectangle giving the maximum area.

What is the formula to find the perimeter of a rectangle?

The formula to find the perimeter of a rectangle is Perimeter=2(Length+Breadth).

Now, 24=2(Length+Breadth)

Length+Breadth=12=7+5

Thus, Length=7 cm and Breadth=5 cm.

Therefore, the lengths of the sides of the rectangle giving the maximum area are 7 cm and 5 cm.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/2142493.

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