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

Answer:

$14.8+2W\leq 23$

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

Step-by-step 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