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
kiruha [24]
3 years ago
13

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro

und the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide
Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

You might be interested in
Write the quadratic equation in standard form: x^2+x=-4x^2+16​
Rainbow [258]

Answer

-3x^{2} +x+16=0

Step-by-step explanation:

4 0
3 years ago
8. Carisa is four inches taller than her friend Lily.
zhenek [66]

Answer:

cool

Step-by-step explanation:

3 0
3 years ago
If possible, draw a line of symmetry in each of the following figures or words. If it is not possible to draw a line of symmetry
Marrrta [24]

Answer:

  a) none

  b) vertical through the middle

  c) horizontal through the middle

  d) none

Step-by-step explanation:

a) A repeated asymmetrical pattern rarely has a line of symmetry. (I can't think of a case where it does.)

__

b) This figure has left-right symmetry about its centerline. (In general, a light bulb will not, because the screw threads are asymmetrical.)

__

c) Each of the letters is symmetrical about its horizontal centerline, so  the word is as well.

__

d) The letter S is symmetrical about its center point, but not about any horizontal or vertical line. This word is not symmetrical about any line.

__

8 0
3 years ago
What is the value of g(9)?
ryzh [129]
I think B should be the answer
6 0
3 years ago
5. Two-thirds a number plus 4 i 7.​
eimsori [14]

Answer:

x = 9/2.

Step-by-step explanation:

2/3 x + 4 = 7

2/3 x = 3

Multiply both sides by 3/2:

2/3 * 3/2 x = 3 * 3/2

x = 9/2.

7 0
3 years ago
Other questions:
  • Alta Vista Company plans to sell 90,000 units in June and 135,000 units in July. The company’s policy is to keep 15% of the next
    14·1 answer
  • Can 12 cm 12 cm and 28 cm form a triangle
    9·1 answer
  • What is the definition of 'distributive property'?
    15·2 answers
  • Help please..<br><br> Solve the equation<br> x^2 + 35x = 0
    7·1 answer
  • Find the area of the region under y=e^x and above y=1 for 0 less than equal to x less than equal to 5.
    15·1 answer
  • Can someone help me real quick?
    15·1 answer
  • Order of operations 8 (4)(8)-14
    14·2 answers
  • What is (7x-5)- (3x-2)
    10·1 answer
  • *PLEASE ANSWER!! ITS FOR MY QUIZ!!*
    13·2 answers
  • Help I have no idea to do this!! I’m stuck!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!