Find a formula for the described function. A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides

Area of rectangle in terms of length L is

Given :

A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides

We know that the perimeter of rectangle formula is

perimeter is 8m

Let the length of rectangle is L

so width is 4-L

Now we use area formula

Area of rectangle = length times width

Area of rectangle in terms of length L is

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Step-by-step explanation:

Given

Perimeter = 8m

Required

Determine its area as a function of length

Represent Length and Width with L and W, respectively;

Perimeter (P) is calculated as thus;

Substitute 8 for P

Divide both sides by 2

Make W the subject of formula

Area (A) of a rectangle is calculated as thus:

Substitute 4 - L for W

Open bracket

Represent as a function

answer: -2+√x,-2-√x

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