hrt219
contestada

A rectangle has perimeter 200 feet.
1. Let L represent the length of the rectangle. Write an equation for the width W in terms of L.
2. Write a function A(L) that represents the area of the rectangle with length L.​

Respuesta :

deathdoodle2000

Answer:1. (200-2L)/2      2.L x (200-2L)/2=A

Step-by-step explanation:

xKelvin

Answer:

Part 1)

[tex]W=100-L[/tex]

Part 2)

[tex]A(L)=L(100-L)[/tex]

Step-by-step[tex]W = 100-L[/tex] explanation:

We are given a rectangle with a perimeter of 200 feet.

Part 1)

The formula for perimeter for a rectangle is:

[tex]200=2(L+W)[/tex]

We can divide both sides by 2:

[tex]100=L+W[/tex]

And subtracting L from both sides yields:

[tex]W=100-L[/tex]

Part 2)

The area of a rectangle is given by:

[tex]A(L)=LW[/tex]

Since we solved for W earlier:

[tex]A(L)=L(100-L)[/tex]

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