Question

Enrico is designing a rectangular board for a game. He wants the ratio of the length to the

width to be 6:5. If Enrico makes the board x feet wide, which function A(x) represents the area
of the board?

Answer 1

`A(x)=(6)/(5)x^2`

Explanation:

Let

y ----> the length of the board

x ----> the width of the board

we know that

`(y)/(x)=(6)/(5)`

`y=(6)/(5)x` ----> equation A

The area of the board is

`A=xy` ----> equation B

substitute equation A in equation B

`A=x((6)/(5)x)`

`A(x)=(6)/(5)x^2`