you want to frame a collage of picture with a 9ft strip of wood. What dimensions will help you maximize the area?

Dimension of the picture with 9ft strip of wood is

length = 2.25 ft  and width =2.25 ft

Given :

you want to frame a collage of picture with a 9ft strip of wood.

the perimeter of the frame is 9 ft

Perimeter of rectangle = 2(length +width )

Let 'l' be the length and 'w' be the width

Now we find the area

Now we find out 'w' where area is maximum

Width =2.25 gives us maximum area

Now find out the length ,

Dimension of the picture is length = 2.25 ft  and width =2.25 ft

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Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?

A:

Perimeter = 2(L + W) 9 = 2(L+W) L+W = 4.5 L = 4.5-W Area = LW Area = (4.5-W)W A = 4.5W - W^2 You have a quadratic with a = -1 and b = 4.5 Maximum area occurs when W = -b/(2a) = 4.5/(2*-1) = 2.25  

Step-by-step explanation:

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step-by-step explanation: