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
Alenkinab [10]
3 years ago
14

A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm

². Find its original dimensions.
Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Let the width be "x" cm.

Then the length is "x+12" cm

And the area = x(x+12) = x^2+12x cm^2

----------------------------

Change the dimensions:

width = "x-2" cm

length = "x+10" cm

New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2

------------------

Equations :

Old area - New area = 108 cm^2

x^2+12x -(x^2 + 8x - 20) = 108

4x + 20 = 108

4x = 88

x = 22 cm (original width)

x+12 = 24 cm (original length)

You might be interested in
What percent of 4c in each expression? <br> 0.2c
Ymorist [56]

The percentage of 4c in the expression 0.2c is 2000%

<h3>How to determine the percentage of 4c?</h3>

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

4c/0.2c

Evaluate the quotient

20

Express as percentage

2000%

Hence, the percentage of 4c in 0.2c is 2000%

Read more about percentages at:

brainly.com/question/843074

#SPJ1

7 0
2 years ago
The crime rate of a certain city is increasing by exactly
harina [27]
There will be about 450 crimes in the year 2015

6 0
4 years ago
What's the answer and how do I work the problem out?!!
Kobotan [32]
If 28% is 42 people
you have to get from 28 to 100 by timsing 28 by '?'
100/28 =<span>3.57142857143
</span><span>3.57142857143 x42=150 people</span>
5 0
3 years ago
At the movies a bag of popcorn cost $3.50 and a bottle of water coast $2.75. If Madeline has $18 and bought two bottles of water
algol13
Multiple the cost of the water bottle ($2.75) then whatever you answer is, you subtract that from 18. She should have $12.5 left. The most bags of popcorn she could get is 3. Just add $3.50 until it’s closes to the amounts of money she has left.
4 0
3 years ago
Which choice describes a question that could be answered by moving the decimal point 3 places to the right?
malfutka [58]
When you multiply by 100 you have to move the decimal place 2 places to the right.

When you multiply by 1,000 you have to move the decimal place 3 places to the right.

When you multiply by 102 and 103, there is no simple trick as with multiplying by 100 or 1,000.

Your final answer is B. <span>multiplying 31.04 by 1,000</span>
7 0
3 years ago
Other questions:
  • There are two factors of -36 such that one factor is 11 less than half of the other factor. Choose all the pairs of these factor
    7·1 answer
  • What is the difference between x and half of your??
    15·1 answer
  • If n lines are drawn in a plane, how many regions do they separate the plane into? induction
    5·1 answer
  • How do I solve this?
    11·1 answer
  • Please help me with the question below!! PLEASEEEE
    7·2 answers
  • PLZ HELP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!
    10·1 answer
  • Can someone awnser this question please? -6+[10:(4+5)]+7=​
    9·1 answer
  • A monster can eat 36 cookies in 9 minuets.How many cookies can the monster eat in 12 minuets?
    11·1 answer
  • 3x+4=7-2x <br> Solve this equation for x with steps
    12·1 answer
  • Help me please asap im begging
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!