70.4k views
1 vote
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be 5 feet greater than its width. A maximum of 180 feet of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden

1 Answer

5 votes

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border


we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2


substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft


the answer is

the width of the border is less than or equal to 42.5 ft


User Sudershan Shastri
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories