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
kogti [31]
3 years ago
14

A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decr

eases the area by 120 square centimeters. What were the original dimensions?
Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

You might be interested in
What is 5.2 (the two is repeating) as a fraction in simplest form?
densk [106]
26/5 is 5.2 as a fraction
3 0
3 years ago
Read 2 more answers
at a particular school 40% of children travel by bus if this represents 400 children, how many children attend the school
Oksana_A [137]

Answer:

560 students

Step-by-step explanation:

400x1.4=560

8 0
3 years ago
Read 2 more answers
What is the value of x?​
LiRa [457]

Answer:

98°

Step-by-step explanation:

x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 98°

5 0
2 years ago
Help pls! I need help to finish :(<br> No Links!
atroni [7]
The answer is 7.5.
7 4/8 is also 7.5
5 0
2 years ago
Multiply (9x + 2) (2x - 3). What is the product?
garik1379 [7]

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

7 0
3 years ago
Other questions:
  • You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Ter
    13·1 answer
  • 14tx=46;x=32 what's the answer?​
    8·2 answers
  • How do I write the number in 2 other forms 0.632 and 4.293 ?
    11·2 answers
  • So the value of x must be _____
    13·2 answers
  • Find the value of y, given value of x.
    15·1 answer
  • What is the degree of the monomial 3x²y3?<br> O2<br> 03<br> 05<br> 06
    15·2 answers
  • Please help me I can’t find the answer
    11·1 answer
  • Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
    15·1 answer
  • Cos inverse a+b/a-b =?
    15·1 answer
  • Convert from radians to degrees.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!