A rectangle is bounded by the x-axis and y-axis and the graph y=-1/2x +3. what length and width should the rectangle have so that it’s area is a maximum.

Answered question

2022-01-06

A rectangle is bounded by the x-axis and y-axis and the graph y=-1/2x +3. what length and width should the rectangle have so that it’s area is a maximum.

Answer & Explanation

star233

star233

Skilled2022-02-09Added 403 answers

Given: y=12x+3

Let's rewrite as y=312x

A=xy

A=x(312x)

A=3x12x2

A=3x=0

x=3

x=3

Area is a max when x=3 blc A changes from + to .

Height =3

Width =1.5

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