The perimeter of a rectangle is 200 feet. Let x represent the width of the recta

Question

The perimeter of a rectangle is 200 feet. Let x represent the width of the rectangle.

Write a quadratic function for the area of the rectangle in terms of its width.

Find the vertex of the graph of the quadratic function and interpret its meaning in the context of the problem. The perimeter of a rectangle is 200 feet. Let x represent the width of the rectangle.

Write a quadratic function for the area of the rectangle in terms of its width.

Find the vertex of the graph of the quadratic function and interpret its meaning in the context of the problem.

Explanation / Answer

Let Width b= x metres,

And Length l = (200 - 2x)/ 2

Area of rectangle =A = length * Width

A = x * ((200 - 2x)/ 2)

A = 100x -x^2

Here x=0,100 at that time it come as simple line of 100 mtrs.

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