![rdemp6105](/avatars/5768.jpg)
rdemp6105
15.04.2020 •
Mathematics
A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three sides is to be made of material that costs $6 per foot. The material for the fourth side costs $18 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.
Solved
Show answers
More tips
- H Health and Medicine How to Deal with Heat Stroke?...
- F Food and Cooking Discover the Health Benefits of Cedar Nuts...
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- S Science and Technology Colliders: How They Work and Why They Matter...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment How Many Seasons are There in the TV Show Interns?...
- S Sport Playing Bowling: Rules and Advice for Novices...
- L Leisure and Entertainment The Best Film of 2010: A Look Back at the Academy Awards...
- S Sport How to Learn Swimming? Simple Tips for Beginners...
- C Computers and Internet What is Web 2.0 and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Given a circle with measures of (Cd, and r) and a circle with measures of (C, d , and), what is rif - 5 and d = 20...
- M Mathematics Determine whether the following geometric shapes are possible cross sections for a right rectangular prism, where the lengths of the dimensions are not equal to each other....
- M Mathematics Find the x and y intercepts of this line: -5x+4y=-18...
- H History What is the answer???...
- S Social Studies Does the Chinese government protect the citizens rights...
- H Health When does concentric muscle contraction occur?...
Ответ:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1),
in equation (2)
Differentiate both sides with respect to L:
Put it equal to zero for maxima and minima
L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.
Ответ: