This homework question has to do with modeling with functions.

Caelan

Caelan

Answered question

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.

Answer & Explanation

brawnyN

brawnyN

Skilled2021-08-19Added 91 answers

Step 1
Perimeter of rectangle =80ft
let length of rectangle be x ft
Perimeter of rectangle formula =2 (length+breadth)
where x is length
b is breadth
2(x+b)=80
2x+2b=80
2b=802x
b=802x2 (1)
Step 2
Area of Rectange formula =length×breadth
A=x×b (2)
Where A Area
x length
b breadth
Substitute b value in terms of x from 1 in 2
A=x×(802x2)
Step 3
A=80x4x22
=2(40x2x2)2
=40x2x2
The function that models area is given by A=40x20x2

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