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
Luda [366]
3 years ago
15

A square piece of paper has an area of x2 square units. A

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

You might be interested in
4. What are the values of x and y? HELP PLEASE
Sergeeva-Olga [200]
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig 

TO FIND Y 

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y      (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15  Y=136/15
8 0
3 years ago
AB is parallel to ED.
ivolga24 [154]

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

\frac{CB}{CE} = \frac{AB}{DE} , substitute values

\frac{6.4}{CE} = \frac{8}{20} ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

4 0
3 years ago
the ages of three siblings are all consecutive integers the sum of their ages is 39 how old is the youngest sibling variable equ
Verdich [7]

Answer:

Step-by-step explanation:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

8 0
2 years ago
light travels at 3x10 to the power of 8 meters per second. there are 8.64x10 to the power of 4 seconds in 24 hours. how many met
Vaselesa [24]
Distance = velocity * time

               = 3 * 10^8 * 8.64 * 10^4 

               =   2.592 * 10^13 meters (answer)
6 0
3 years ago
Joey and his family plan to visit the grand canyon, Yellowstone national park and the Washington monument. They will travel 1,32
Butoxors [25]

Answer:

4335

Step-by-step explanation:

Its the answer i did the test once give brainliest

8 0
3 years ago
Other questions:
  • a garden table and a bench cost 806 combined. The garden table costs 44 less than the bench What is the cost of the bench?
    15·1 answer
  • How many cards must be drawn from a standard 52 card deck to guarantee a black card?
    12·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.
    7·1 answer
  • Solve for x:<br> 22x+11=4x-7
    6·2 answers
  • -40+23 what is the sum
    15·2 answers
  • What is the factored form of 36x^4-25?
    15·1 answer
  • a shower head use is about 6 gallons of water per minute given m, the number of minutes write an equation that can be used to fi
    12·1 answer
  • A grocery store sells snacks by weight. A 6-oz bag of gummy worms costs $3.60. How much would it cost for a 2-oz bag?
    14·1 answer
  • Plz help ASAP plz!!!
    13·1 answer
  • I need help with math I will give 5 hearts and brainlist and thanks you will get 61 points this is pre algebra
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!