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
Find the perimeter of ABC with vertices A(0,-4), B(4,-4), and C(0,-1).
Vesna [10]
<span>you know the measure of AC that is 4 and the measure of AB that is 4. Then you do the theorem of Pythagoras 4 squared + 4 squared = hypotnuza (CB)
</span>
then + all sides
6 0
3 years ago
Please need help thank you
telo118 [61]

Answer:

2, 3/4 and 1

Step-by-step explanation:

8 0
3 years ago
(4x + 3) (3x^2 - 5x + 6)
Liula [17]

Answer:

12x^3 - 11x^2 + 9x + 18

Step-by-step explanation:

12x^3 - 20x^2 + 24x + 9x^2 -15x + 18

Combine like terms

12x^3 - 11x^2 + 9x + 18

4 0
3 years ago
Alternate interior angles. if you are good at that help ​
mamaluj [8]

Answer:

hi

Step-by-step explanation:

i think so,

(5x-54)⁰=(3x+16)⁰

5x-3x=16+54

2x=70

x=35⁰

3x+16=3×35+16=121

5x-54=5×35-54=121

hope it helps

have a nice day

8 0
2 years ago
Read 2 more answers
Please answer! Thanks
GenaCL600 [577]
1) y = 1x + 95.50
x = number of bandanas

2) y = (1 • 50) + 95.50
$145.50 for 50 bandannas

3) 116.50 = 1x + 95.50
get x by itself

116.50 = 1x+ 95.50
-95.50 -95.50

21 = 1x
divide by 1
21 = x
you get 21 bandannas when you pay $116.50
7 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the perimeter of a square with side length of 9 cm don not include units in your answer
    13·1 answer
  • How is the decimal 1.7 expressed as a percent?
    11·2 answers
  • Can someone help me with this one
    11·2 answers
  • Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and
    8·1 answer
  • How can I convert log2 1/64
    14·1 answer
  • What is the formula to solve this (volume)?
    11·1 answer
  • What is this 4x+1 all over 3 =11
    12·1 answer
  • 4x^10 + 9x^10 what is the sum or difference
    6·1 answer
  • How do I find the slant height of a cone with a surface area of 734.76 yd and a radius of 9 yd?
    14·1 answer
  • SOMEONE HELP IM NEWE SORRY TYSM IF U DO&lt;3333
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!