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
olasank [31]
3 years ago
7

Originally a rectangle has dimensions 12in by 8in. If both are increased by the same amount, the area is doubled. Find the new d

imensions. Hint x = the amount your are increasing each side by.
A.) 16 in by 12 in

B.) 14 in by 10 in

C.) 4 in by 48 in

D.) 8 in by 24 in
Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer with Step-by-step explanation:

Originally a rectangle has dimensions 12 inch by 8 inch

Length=12 in.

Breath=8 in.

Original Area=12×8

                     = 96 in.²

x = the amount your are increasing each side by.

New length=(12+x) in.

New breath=(8+x) in.

New Area=(12+x)(8+x) in.²

If both are increased by the same amount, the area is doubled.

New Area=2×96=192 in.²

⇒ (12+x)(8+x)=192

⇒ 12(8+x)+x(8+x)=192

⇒ 96+12x+8x+x²=192

⇒ x²+20x-96=0

⇒ x²+24x-4x-96=0

⇒ x(x+24)-4(x+24)=0

⇒ (x+24)(x-4)=0

⇒ x= -24 or x= 4

But x can't be equal to -24 otherwise new length and breath will be negative which is not possible

Hence, Value of x is:

4

New length=(12+4) in.=16 in.

New breath=(8+4) in.=12 in.

Hence, new dimensions are:

A.) 16 in by 12 in

tangare [24]3 years ago
6 0
The answer would be A because it has to increase not decrease in x. 12*8=96. 2(96)=192
16*12=192 :)
You might be interested in
Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra
nirvana33 [79]

Answer:

y=4x

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

\frac{y}{x}=\frac{(4/5)}{(1/5)}

Simplify

\frac{y}{x}=\frac{4}{1}

y=4x

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

6 0
3 years ago
Find the distance between the points. (0, 4) and (3, 0)
katrin [286]

I'm not sure but I think it's 5

3 0
2 years ago
A solid piece of wood shaped as a cylinder with an 8 centimeter diameter is cut shown
e-lub [12.9K]
What is the height shown
5 0
3 years ago
Read 2 more answers
Your science grades are weighted as follows: 35% for tests, 25% for journals, 25% for homework, and 15% for chapter projects. Wh
nexus9112 [7]

Answer:

Third option.

Hope it helped.

4 0
3 years ago
Read 2 more answers
20. I need to find the slope and y-intercept. How do I do that with fractions like that?​
stich3 [128]

Answer:

the slope is the fraction and the y int is zero

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A 1L bag of Normal Saline must infuse over 6 hours using tubing calibrated to deliver 20gtts/mL. How many drops per minute shoul
    5·1 answer
  • A hotel has a pool in the shape of a rectangle. The pool is 8 m long, 3 m wide, and 2,000 cm deep. What is the volume of the poo
    14·1 answer
  • Is 4/5equivalent to 5/10
    11·2 answers
  • Which statement is true
    12·1 answer
  • What is the square root of zero?
    7·1 answer
  • Someone please help????
    15·1 answer
  • Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tube
    14·1 answer
  • Write equations of each line in slope-intercept form
    15·1 answer
  • HELP ASAP !!<br><br> which answers describe the shape below ? check all that apply
    13·1 answer
  • A hose fills a pool up at a rate of 15 gallons every 2 hours. At this rate how many
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!