At a large nursery, a border for a rectangular garden is being built. Designers want the border's length to be 5 ft greater than it's width. A maximum of 180 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.

Question

anonymous · Answer

please help!!!!!!!!!!!!!

anonymous · Answer

Perimeter of a rectangle = 2w+2l
Perimeter = 180ft
Width = w
Length=w+5
Can you write an equation from this?

anonymous · Answer

Write an equation that involves the perimeter of the rectangle. Use the values and expressions above.

anonymous · Answer

$$2(2w+5)\leq 180 $$$$w\leq \frac{85}{2} $$

anonymous · Answer

What is the point if you just giving the answer, without walking the person thru it so they can work thru the problem.

anonymous · Answer

Sabrinaaa r u still there?

anonymous · Answer

yeah sorry just trying to think

anonymous · Answer

w+5 > 180 with the underline on the equality sign? yes? or no?

anonymous · Answer

Were you able to find the equation for the perimeter of the rectangle?
Perimeter <=180ft
Width=w
Length=w+5
Using the Formula to find the perimeter of a rectangle: P=2l+2w, you should get:
2(w+5)+2w<=180

Do you understand this?

anonymous · Answer

w=42.5

anonymous · Answer

Yes to a certain extent. The actual answer is: w<=42.5

anonymous · Answer

wait what?

anonymous · Answer

Remember it is an inequality question. The maximum perimeter of the rectangle is 180ft.
from the inequality equation:2(w+5)+2w<=180, when you solve for w you should get w<=42.5 not an exact value.

anonymous · Answer

ok i kinda get it now

anonymous · Answer

Good. So the value of the width can be 42.5 or a number less than that.

anonymous · Answer

ok thanks

anonymous · Answer

sure no problem