A new patio will be an irregular hexagon. The patio will have two long

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio

2 months ago

Solution 1

Guest Guest #3107
2 months ago
The length of the new patio will be evaluated as follows:
The area scale factor=(area of new patio)/(area of original patio)
Linear scale factor=√(area scale factor)
Linear scale factor=√(36/25)=6/5
thus the length of the patio will be:
length=(linear scale factor)*(length of the original patio)
=6/5×12.5=15 ft

📚 Related Questions

Mitch does not know the correct answer to two multiple choice questions. The choices are A,B,C, and D. If Mitch just guesses, what is the probability that Mitch will guess both answers correctly?
Solution 1
Both chances to success are 1/4. If you want the first AND the second to be successful, you have to multiply the chances, so the answer is

1/4 * 1/4 = 1/16
David and Brad are competing in a 20-mile bicycle race. David rides 6.2 miles in 1/4 hour. Brad rides 11.9 miles in 1/2 hour. If both riders continue at the same average speed, who will finish first? Explain how you know.
Solution 1
First, you calculate David's and Brad's unit rate. 


6.2 mi./1/4 hr. = 6.2 m./15 minutes 
In an hour, there's 60 minutes. 60 divided by 4 is 15. So 1/4 of an hour is 15 minutes.


11.9 mi./1/2 hr. = 11.9 mi./30 minutes
Once again, there's 60 minutes in an hour, so 1/2 of an hour is 30 minutes.

Okay, observing both of the unit rates, David's speed is just about half of Brad's speed. As a result, you multiply David's unit rate twice to get the same amount of time as Brad. It's easier to solve if you think about fractions since unit rates and fractions are just about the same. Now, multiply both the numerator and denominator by 2:

6.2 x 2 = 12.4, and 15 x 2 = 30
Now that you've multiplied them by two, David and Brad are now continuing at the same average speed.

David: 12.4 mi./30 min.
Brad: 11.9 mi./30 min.

David will finish the bicycle race first since he's gone farther than Brad.
I really hope I helped! :) There are so many other ways to solve this, but here's one way that I know best. If I didn't help, I'm sorry. I tried. :(
Jika f(x-1)=2x+5 dan g1(x-2)=4x+2 maka (g•f)1(0)
Solution 1
G (x) = x + 1 (fog) (x) = x 2 + 3x + 1 ⇒ (fog) (x) = x 2 + 3x + 1 ⇒ f (g (x)) = x 2 + 3x + 1 ⇒ f (x + 1) = x 2 + 3x + 1 Eg x + 1 = p, then x = p - 1. ⇒ f (p) = (p - 1) 2 + 3 ( p - 1) + 1 ⇒ f (p) = p 2 - 2p + 1 + 3p - 3 + 1 ⇒ f (p) = p 2  + p - 1 So f (x) = x 2  + x - 1 - -> 
                                            ANSWER IS : x 2 + x - 1 
Dana measured the height of her bedroom wall to be 3 yards tall.which of these is closest to the equivalent measurement? 0.6 kilometers,3.5 meters,274.3 centimeters,or 7834.7 millimeters
Solution 1
274.3 centimeters is closest to the equivalent
explain why in any triangle the difference of the lengths of any two sides cannot be greater that the length of the third side.
Solution 1
Becuase then the 3 lines woul dnot connect
if you draw any 1 line of legnth w
then lets say you draw a line of legnth w/2 and (2/w)-1
then you would have 2 lines that are too short to connect
try it yourself

basically lets say we have sides legnth 3,6,10
10-6 is more than 3
if you draw a line that is 10 legnth and try to draw 1 line at each end, one which is 3 legnth and the other which is 6 legnth, you cannnot connect the 3 and 6 line becuase they are 1 unit too short, if they were 1 unit longer, then the triangle would be a line

Two cyclists leave town at the same time on the same road going in  the same direction. Cyclist a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x= 8(x+6) to find how fast cyclist b was traveling.
Solution 1


3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

  • Distance covered by cyclist A in 8 hours= 8(x+6)
  • Distance covered by cyclist B in 8 hours= 8x

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

Solution 2
/16  /16

one of the congruent angles of an isosceles triangle measures 40 degrees. what measures do the other angles have?
Solution 1
Isosolese triangle has 2 equal angles
3 interior angles of a triangle add upt o 180 so
since 1 of the 2 identical angles are 40 then
subtract 80
the ohter angle is 100

the answer is
A professional basketball team must play a total of 85 came before the playoffs begin. The team has played 3/5 of the scheduled games, if the team plays 10 more games, what is the total number of games they will have played
Solution 1
They will have played a total number of 61 games.

85*3/5 is 51 and then 51+10=61.
What is
Solution 1
Answer: 12


Step 1:
Turn 3 into a fraction.

Step 2:
Multiply across
8 * 3 = 24

2 * 1 = 2

Answer: 24/2

Step 3:

24 divided by 2 = 12

Answer = 12

What is the simplified version of square root 100x^36? A. 10x^18 B. 10x^6 C. 50x^18 D. 50x^6
Solution 1


Nah it’s actually a their wrong

Step-by-step explanation:

Solution 2
Your answer will be C because you just divide by 2