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
Sveta_85 [38]
3 years ago
15

A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a

rea to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
Pls Show Work
Mathematics
2 answers:
vekshin13 years ago
6 0

Answer:

x=2 meters

Step-by-step explanation:

length = 12+2x

width = 6+2x

Area = (12+2x) (6+2x) = 160

Foil

 72 + 12x+24x+4x^2 = 160

Combine like terms

4x^2 + 36x +72 = 160

Subtract 160 from each side

4x^2 +36x -88 =0

Divide by 4

x^2 +9x -22=0

Factor

What 2 numbers multiply to -22 and add to 9

11 * -2 = -22

11+ -2 = 9

(x +11) (x-2) =0

Using the zero product property

x=-11  x=2

Since we cant have negative length

x=2

Natasha2012 [34]3 years ago
5 0

Answer:

<em>Width of Pathway; 2 meters</em>

Step-by-step explanation:

To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒

Increase length on one side * 2, if increased length / width ⇒ x, 2x

From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );

( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,

72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,

4x^2 + 36x - 88 = 0 ⇒ Factor,

4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,

x = 2, and x = - 11;

Now the width can only be a positive value, thus;

<em>Solution; Width ⇒ 2 meters</em>

You might be interested in
PLZ HELP!! if you flipped a coin 200 times, approximately how many times should the coin land heads up?
olasank [31]
It would be very likely that it would land heads up, about 100 times. its a 50/50 chance
5 0
3 years ago
What is KN + IK?<br> !it’s not 1!
sergiy2304 [10]
The answer is 6, K-N is 4, and I-K is 2, and as we all know, 4+2=6
6 0
2 years ago
An isosceles triangle has a perimeter of 36 inches. Its base is 2
astra-53 [7]

The lengths of the sides of the triangle are 8, 8, 20

Explanation:

Given that the perimeter of an isosceles triangle is 36 inches.

The base of the triangle is 2\frac{1}{2} times longer than each of its legs.

We need to determine the lengths of the sides of the triangle.

<u>Lengths of the sides:</u>

Let x denote the lengths of the sides of the triangle.

The base of the triangle is given by

2\frac{1}{2}x=\frac{5}{2}x=2.5x

Perimeter of the isosceles triangle = Sum of the three sides of the triangle.

Thus, we have,

36=x+x+2.5x

36=4.5x

8=x

Thus, the length of the sides of the isosceles triangle is 8 inches.

Base of the triangle = 2.5(8)=20 \ inches

Hence, the three sides of the isosceles triangle are 8, 8, 20

3 0
3 years ago
If you log out of Brainly for a month will you still get charged?
sweet-ann [11.9K]

I don't think you can as long as your not plus.

3 0
3 years ago
Read 2 more answers
What is the x^3=15 bc i duno
MakcuM [25]

Answer:

2.466...

Step-by-step explanation:

You must find the cube root of 15.

It's 2.466...

hope it helps! :-)

6 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the equation for k.<br> 4k - 2z = 8
    9·2 answers
  • Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and a
    8·1 answer
  • After Julie went to sleep, the temperature rose 6 degrees before falling twice as far as it had risen. The next morning, the tem
    6·1 answer
  • How does Pi appear in our everyday lives?
    10·2 answers
  • How are you expose to solve 7n-7n=1
    12·1 answer
  • There were 16 stairs.carlos walked halfway up.how many steps did he climb
    13·1 answer
  • Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular? a. ||u+v||=||u||+||v||
    9·2 answers
  • There are two clocks in a shop. The first clock chimes every 5 minutes. The second clock chimes every 6 minutes. If both clocks
    6·1 answer
  • if the sides of a triangle QRS are QR=10X-6, RS=6X-15,QS=X+24, find a range of possible values for X?​
    12·1 answer
  • Two card are pulled from a normal deck of 52 cards, without replacement.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!