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
Sauron [17]
3 years ago
6

A rectangle deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq.ft By ho

w much were the dimensions increased?
Mathematics
2 answers:
Reika [66]3 years ago
5 0
X= increased amount
L= length
W= width

The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.

L= 12 + x
W= 14 + x

L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses

(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288

x^2 + 26x + 168= 288
subtract 288 from both sides

x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120

(x - 4) (x + 30)= 0
set each number equal to zero

x - 4= 0
x= 4

x + 30= 0
x= -30


ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.

Hope this helps! :)
yan [13]3 years ago
3 0

Answer: The dimensions increased by 4ft.

You might be interested in
What are the coordinates of the orthocenter of LMN ?
Sauron [17]

Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.

8 0
3 years ago
Mr. Shaw wants to replace the flooring his family room. The floor has an area of 262.8 square feet. If the room is 18 feet long,
iVinArrow [24]

Answer:

14.6

Step-by-step explanation:

The area of a rectangle is area=length*width

so we can substitute the numbers here, 262.8=18w

divide 262.8 by 18 to isolate the variable.

You get 14.6.

The width is 14.6.

5 0
3 years ago
A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area
ziro4ka [17]

Answer:

9.42?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 34 x000 tell me please
Nataly_w [17]
Thirty four times 000 which I am assuming is just zeroes would be 0.
7 0
3 years ago
Read 2 more answers
Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?
Yuliya22 [10]

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = \sqrt{x}

Which increases on (0, ∞).

The translated function is given by:

g(x) = -2\sqrt{x - 3}

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
Other questions:
  • What the answer to this?
    15·2 answers
  • Stephen and Jahmya are having lunch. Stephen buys a garden salad ($2.29) a veggie burger ($4.75) and a lemonade ($1.29). Jahmya
    13·1 answer
  • Xy=-42 what is the answer to it ?
    12·1 answer
  • Steven flips a coin several times to see how often heads occurs. Is this an experimental or theoretical probability?
    7·1 answer
  • -2√8-√2-2√8 can u help me solve this
    14·1 answer
  • Recently, the value of a house increased by 20.5%.
    5·1 answer
  • Find the value of x. If necessary, write your answer in simplest radical form.<br> 12<br> 9
    7·1 answer
  • Find the area of the white region in the diagram shown.
    5·1 answer
  • Can you help me on this please and thank you!​
    12·1 answer
  • Similar Triangles
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!