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
artcher [175]
3 years ago
5

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).
Mathematics
2 answers:
damaskus [11]3 years ago
4 0

Answer:

x=2

Step-by-step explanation:

Original width = 6

New width 6+x+x

Orignal length 12

New length  12+x+x

A = l*w

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

Factor

160 = 2( 3+x) 2(6+x)

Divide each side by 4

40 = (3+x) (6+x)

FOIL

40 = 18+ 6x+3x+ x^2

40 = 18 +9x+x^2

Subtract 40 from each side

0 = x^2 +9x -22

Factor

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

Using the zero product property

x +11 =0   x-2 =0

x= -11   x=2

Since we cannot have a negative  sidewalk

x =2

Paraphin [41]3 years ago
3 0

Answer:

2

Step-by-step explanation:

Original width = 6

New width = 6 + x + x = 6 + 2x

Orignal length = 12

New length = 12 + x + x = 12 + 2x

A = l * w

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

160 = 2(3+x) * 2(6+x)

160 = 4 * (3 + x)(6 + x)

160/4 = (3 + x)(6 + x)

40 = 18 + 6x + 3x + x^2

40 = 18 + 9x + x^2

x^2 + 9x - 22 = 0

= x^2 + 11x - 2x - 22 = 0

= x(x + 11) - 2(x + 11) = 0    

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

x = - 11, 2

Since we cannot have a negative width because it's a dimension,

x = 2 is right

You might be interested in
ADDING FRACTIONS:
bazaltina [42]

Here is your answer:

  • \frac{4}{11} + \frac{3}{8}
  • \frac{4}{11}\times 8 = \frac{32}{88}+\frac{3}{8} \times 11 =\frac{33}{88}
  • 32 + 33 = 65 =\frac{65}{88}
  • = \frac{65}{88}

Therefore the answer is "65/88."

Hope this helps!

7 0
3 years ago
Read 2 more answers
The answer to this question.
LekaFEV [45]

Answer:

.................................

3 0
3 years ago
The perimeter of a rectangular red sticker is 26 millimeters. It is 4 millimeters tall. How wide is it?
sattari [20]
It is 9 millimeters wide
3 0
3 years ago
Read 2 more answers
What's the answer? please help
yan [13]
Answer: -4/3

Y2-y2/x2-x1
7 0
3 years ago
Read 2 more answers
Sarah goes for a run around her neighborhood. She runs 2.5 miles in 20 minutes. Sarah’s average speed is ______ miles per minute
MrMuchimi
I think I would first convert it to hours to solve it and then back to minutes at the end. Super strange it’s been asked for in minutes.

So to convert 20 minutes into hours, you need to multiply by 3.

This means you need to do the same to the other side, cause if they’ve travelled 2.5 miles in 20 minutes, they’d travel 3 times that in an hour.

So this is 7.5m/ph

But then they want it in minutes, so I suppose 7.5/60?

So 0.125m/pm?
5 0
3 years ago
Other questions:
  • at the bank, Brent exchanges $50 in bills for 50 one dollar coins. the total mass of the coins is 405grams.estimate the mass of
    9·2 answers
  • Simplify completely (x^2+x-12)/(x^2-x-20)÷(3x^2-24+45)/(12x^2-48x-60)
    5·1 answer
  • Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?
    7·2 answers
  • Estimate each quotient 195 divided by 4
    11·2 answers
  • Frankie and Marcel are picking apples. Frankie has 18 apples, which is 4 times plus 2 more apples than Marcel has.
    9·1 answer
  • Find the measure of x. (to the nearest tenth)
    9·1 answer
  • Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally o
    11·2 answers
  • Find the surface area of the rectangular prism<br> 3 cm<br> 5 cm<br> 10 cm
    11·1 answer
  • Find five rational numbers between 5/4 and 2
    7·2 answers
  • Pls help I don’t get what dis teacher even wants bro
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!