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
elena-s [515]
3 years ago
7

Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i

n order to increase the the area of garden to 104 feet squared. How many feet will she need to add to each side?
Mathematics
1 answer:
elena55 [62]3 years ago
4 0
<span>Let the extension of the length and width be x.
 The new dimensions are: Length = 8+x
  Width =3+x
 Area = 104 ft squared
 Area of a rectangle = Length x Width
 Therefore,
(8+x)(3+x) = 104
 x^2 +11x +24=104
 x^2 +11x +24-104=0
 x^2 +11x-80=0

 Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>
You might be interested in
Identify the imaginary part of the number.<br> 5<br> A)5i<br> B)5<br> C)0<br> D)1<br> E)I
laila [671]
I believe it would be A or E
7 0
3 years ago
It costs $35 for admission to Great Adventure plus $5 for each ice cream sandwich you buy. If you brought $92 dollars to the par
Maurinko [17]
With $92 dollars you could buy 18 ice cream sandwiches. 
5 0
3 years ago
Write the equation in slope intercept form
Licemer1 [7]

Answer:

Your answer is

slope-intercept equation is y=-3x+6

Hope that this is helpful. Tap the crown button, Like & Follow me

3 0
3 years ago
Jalyn collected 24 stones. She put them in 4 equal piles. How many stones are in each pile?
ZanzabumX [31]

Answer:

6

Step-by-step explanation:

This is basically 24 divided by 4 since he/she is dividing 24 into 4 equal groups.

24/4=6

3 0
3 years ago
Read 2 more answers
If f(x) = 4x - 20, what is f(4)?
Nataliya [291]

Answer:

f(4) = -4

Step-by-step explanation:

f(x) = 4x - 20

Let x= 4

f(4) = 4*4 - 20

Multiply first

     = 16 -20

Then subtract

    = -4

4 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help! will give brainlist!
    8·2 answers
  • The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5
    13·2 answers
  • How do you solve 7 1/5-6 2/5
    5·1 answer
  • Find the distance between the points with coordinates (-2,-3) and (1,1)
    10·1 answer
  • HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
    7·1 answer
  • IT'S URGENT PLZZZZZZZZZ HELP SOMEONE HELP PLZZZZZZZZZZZZZZZ I NEED IT PLZZZZZZZZZZZZZZZZZZ!!!
    5·1 answer
  • 54÷6+0.42×(9×8÷2+82)
    9·2 answers
  • don't worry about the other writing I want to see it worked out step by step so I can work the rest out and learn how to do them
    9·1 answer
  • Pls help, i will give someone a brainlest!<br><br> Options:<br> Kayla<br> joshua
    6·2 answers
  • What is the twentieth term in the sequence 23, 43, 63, 83 …?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!