1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kay [80]
3 years ago
12

A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer field must be 40 yards longer

than its widht. Determine algebraically the dimensions of the soccer field, in yards
Mathematics
2 answers:
Vaselesa [24]3 years ago
6 0

Answer:

length = 100 yd, width = 60 yd

Step-by-step explanation:

To solve this problem, you must set up an equation.

We know that he length (<em>l</em> ) is 40 yards greater than the width (<em>w </em>). That means that the length is equal to the width + 40 yards, which can be written as <em>l</em> = <em>w</em> + 40. If the area of the field is 6000 square yards, that means the length times the width must be equal to 6000. Here is the equation that comes from it:

<em>w </em>* (<em>w</em> + 40) = 6000

You can simplify that even further:

<em>w </em>^2 + 40<em>w </em>= 6000

Divide both sides by 40 to get rid of the coefficient:

<em>w </em>^2 + <em>w</em>  = 150

Now subtract w from both sides, then take the square root of both sides:

w = sqrt(150-w)

You could keep simplifying this equation until you finally arrive at your answer:

w = 60.

This means that the length, which is 40 more than the width, is 100.

If you want to prove this answer, just multiply the width by the length, which is 60*100, which gives you 6000 square yards; just what you need!


kogti [31]3 years ago
4 0

Area is 6000 yd2

LW = 6000

field must be 40 yards longer than its width

L = W + 40

Replace L with W+40 in 1st equation to solve for Width

(W+40)(W) = 6000

W2 + 40W - 6000 = 0

This is a quadratic but is factorable

Factors of -6000 that add to 40 are (100)(-60)

(W+100)(W-60) = 0

W = -100   or   W = 60

Since the width will not be negative discard -100

The width is 60 yards

Length is W+40 = 100 yards

You might be interested in
Plss view the image :((((((((((
topjm [15]

Answer:

f(x) = -8

Step-by-step explanation:

f(x) = x² + 2x – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = 4 + (-4) – 8

f(x) = 4 – 4 – 8

f(x) = 0 – 8

f(x) = -8

I hope this helps

8 0
3 years ago
What is the perimeter of PQR? Show your work.
xz_007 [3.2K]
I do not know how to show the working out but its 4+6+6
3 0
3 years ago
Read 2 more answers
A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an avera
Licemer1 [7]

Answer:

The answer is c.

Step-by-step explanation:

6 0
3 years ago
What is the area of the figure below? <br><br> 7.5m^2<br> 15m^2<br> 21.25m^2<br> 42.5m^2
Novay_Z [31]
The answer is c!!! hope this helps!!!
7 0
3 years ago
Read 2 more answers
An online furniture store sells chairs for $50 each and tables for $550 each. Every day, the store can ship a maximum of 32 piec
Hunter-Best [27]

Answer:

you have to sell 6 tables to meet all requirements

Step-by-step explanation:

chairs=$50x

tables=$550x

24 chairs×50= $1200

4100-1200= $2900

take $2900 and divide by $550 to find the exact number of tables which is 5 but selling 5 tables and 24 chairs doesnt reach the $4100 mark so I rounded up to 6 tables which doesnt surpass the maximum number of furniture(32) but beats the $4100 mark

3 0
3 years ago
Other questions:
  • Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
    13·2 answers
  • Given the sequence 2, 5, 8, 11, 14, ..., which term is 59? (Hint: find n.)
    14·1 answer
  • Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m
    9·1 answer
  • A bull’s-eye with a 4-inch diameter covers 20 percent of a circular target. What is the area, in square inches, of the target?
    8·2 answers
  • Log2(62)<br> in natural logarithm
    5·1 answer
  • 2 MIDDLE SCHOOL QUESTIONS
    13·2 answers
  • The following pentagon, ABCDE is rotated about the origin 90 counterclockwise. Select the new coordinates of C and E after the
    6·1 answer
  • HELP PLEASE 10 POINTS
    13·1 answer
  • What is the approximate solution to this?
    7·1 answer
  • Gerald fi nds that it takes 30 ml of a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!