At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the

Question

4 years ago

13

At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the

building as one side of the area, which measures 23 meters. He has at most 39 meters of rope available to use. If the width of the roped area is "W", form an inequality and solve for the range of possible widths

Mathematics

1 answer:

Furkat [3] · Answer 1 · 2022-01-17T15:48:24+03:00

Answer:

w < 8 meters ( w must be greater than 0 because length cannot be 0)

Step-by-step explanation:

One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).

Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:

Rope Needed = 23 + 2w < 39

Simplifying:

$23 + 2w < 39\\2w < 39 - 23\\2w < 16\\w < 8$

The range of possible values of w is $w$ meters (of course w has to be greater than 0)