the perimeter of a rectangle is 70m. What are the dimensions that will produce the maximum area of such a rectangle

Respuesta :

Answer:

17.5, divide 70 by 4

Step-by-step explanation:

what i said above

The required maximum area of the rectangle is 17.5m

Given,

The perimeter of a rectangle is = 70m.

We have to find ,

The maximum area of rectangle .

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four.

Then,

To find the length of each side. Then find the area by multiplying the length times the width.

Length is = 70m

Maximum area of rectangle is = [tex]\frac{perimeter}{4}[/tex]

                                                    =  [tex]\frac{70}{4}[/tex]

                                                    = 17.5

The required value of maximum area of the rectangle is 17.5m.

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