Question

A restaurant manager needs to rope off a rectangular section for a private party. The length of the section must be 7.4 m. The manager can use no more than 23 m of rope. Which inequality could you use to find the possible widths of the roped off section

Answer 1

`14.8+2W\leq 23`

The value of the width must be less than or equal to 4.1 meters

Explanation:

we know that

The perimeter of the rectangular section is given by

`P=2L+2W`

we have

`L=7.4\ m`

substitute

`P=2(7.4)+2W`

`P=14.8+2W`

Remember that

The manager can use no more than 23 m of rope

so

The perimeter must be less than or equal to 23 m

`14.8+2W\leq 23`

solve for W

subtract 14.8 both sides

`2W\leq 23-14.8`

`2W\leq 8.2`

divide by 2 both sides

`W\leq 4.1\ m`

The value of the width must be less than or equal to 4.1 meters