Caelan

2021-08-18

This homework question has to do with modeling with functions.

1.) A rectangle has a perimeter of 80 ft. Find a function that models its area A in terms of the length x of one of its sides.

Can you please explain exactly what you did and what you used to find the formula.

1.) A rectangle has a perimeter of 80 ft. Find a function that models its area A in terms of the length x of one of its sides.

Can you please explain exactly what you did and what you used to find the formula.

brawnyN

Skilled2021-08-19Added 91 answers

Step 1

Perimeter of rectangle

let length of rectangle be x ft

Perimeter of rectangle formula

where x is length

b is breadth

Step 2

Area of Rectange formula

Where

Substitute b value in terms of x from 1 in 2

Step 3

The function that models area is given by

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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