Question

The area of a bulletin board is 52 square feet. The length is 3 feet less than4 times the width. Find the length and width

Answer 1

The length of the bulletin board is
`13\ ft`

The width of the bulletin board is
`4\ ft`

Explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

`A=xy`

we have

`A=52\ ft^(2)`

so

`52=xy` ------> equation A

`x=4y-3` ------> equation B

substitute equation B in equation A and solve for y

`52=(4y-3)y`

`4y^(2)-3y-52=0`

Using a graphing calculator------> solve the quadratic equation

The solution is

`y=4\ ft`

see the attached figure

Find the value of x

`x=4(4)-3=13\ ft`