tinytoonjr8052
04.06.2020 •
Mathematics
A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only have 2000 feet of gate. What are the dimensions of the school if the area is 240,000 square feet?
Solved
Show answers
More tips
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Ajacket original price is $65 it is on sale for 40% off you have to pay 5% sales tax what is the final price for the jacket...
- M Mathematics Which of the following functions is graphed below?...
- M Mathematics 6.47x10exponet-15 diveded by 3.36x 10exponet-29...
- M Mathematics How much sugar is there in 400 grams of 15% sugar syrup?...
- M Mathematics Aline, which goes through the point of intersection of the diagonals of a trapezoid, divides one of the bases into two segments. the ratio of the length of these segments is...
- M Mathematics In right triangle rqs angle s is a right angle of cosq = 9/41 then sinr...
- M Mathematics Determine the height of the triangle. round to the nearest foot.a. 12 ft c. 10 ft b. 14 ft d. 18 ft select the best answer from the choices provided...
- M Mathematics Determine whether upper a equals upper ba=b, upper a is a subset of upper ba ⊆ b, upper b is a subset of upper ab ⊆ a, upper a is a proper subset of upper ba ⊂ b, upper b is...
- M Mathematics (sat prep) an airplane has leveled off (is flying horizontally) at an altitude 12000 feet. when the airplane is at point p its pilot can see each of two small towns at points...
- M Mathematics Crystal earns $5.25 per hour mowing lawns. write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. how much does...
Ответ:
Width = 139.445 ft and Length = 1721.11 ft or
Width = 860.555 ft and Length = 278.89 ft
Step-by-step explanation:
If the school has a rectangular shape, we have that its perimeter and area are:
Perimeter = 2*Length + 2*Width
Area = Length * Width
If we just want to cover 3 sides of the school, we can affirm that:
2000 = Length + 2*Width (eq1)
And the area is 240,000 ft2, so:
240000 = Length * Width (eq2)
From (eq1), we have that:
Length = 2000 - 2*Width
Using this value in (eq2), we have:
240000 = (2000 - 2*Width) * Width
240000 = 2000*Width - 2*Width^2
Width^2 - 1000*Width + 120000 = 0
Using Bhaskara's formula, we have:
Delta = 1000^2 - 120000*4 = 520000
sqrt(Delta) = 721.11
Width1 = (1000 + 721.11)/2 = 860.555 ft
Width2 = (1000 - 721.11)/2 = 139.445 ft
If we use Width = 139.445 ft, we will find Length = 1721.11 ft
If we use Width = 860.555 ft, we will find Length = 278.89 ft
Both pairs of dimensions are valid answers, as they would use 2000 feet of gate and the area of the school would be 240,000 ft2
Ответ:
Answer is above one