Consider all rectangles with an area of 200 m squared. Let x be the length of one side of the rectangle.
A) Experss the perimeter of a function of x.
then the width is 200/x
Perimeter(x) = 2(x + 200/x)
= 2x + 400/x
1 x+2=3
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10
To express the perimeter of a rectangle as a function of x, we need to find the formula for the perimeter of a rectangle.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, the length of the rectangle is x, and the width can be found by dividing the area of the rectangle by the length:
Width = Area / Length
Substituting the values, we can express the perimeter as a function of x:
Perimeter = 2 * (x + (200 / x))
So, the perimeter of a rectangle with an area of 200 m² is expressed as Perimeter = 2 * (x + (200 / x)).
To express the perimeter of a rectangle as a function of x, we first need to know the formula for the perimeter of a rectangle. The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, the area of the rectangle is given as 200 m². The area of a rectangle is calculated by multiplying the length (L) and width (W) of the rectangle. So we have:
Area = Length * Width
Since we are given the area as 200 m², we have:
200 = Length * Width
Now, in terms of x, we can consider x as the length of the rectangle. Thus, the width can be expressed as:
Width = Area / Length
= 200 / x
Now, we can substitute this value in the perimeter formula:
Perimeter = 2 * (Length + Width)
= 2 * (x + 200/x)
Therefore, the perimeter of the rectangle can be expressed as a function of x as:
Perimeter(x) = 2 * (x + 200/x)