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
nevsk [136]
3 years ago
7

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to

the nearest whole number
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0
 Length = x + 2  (because it is 2 cm more than x)
Width = 2x - 5   (5 cm lest than 2x)Area = 54 cm2  this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54   (this is you area)

  Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0  then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4          and          x = (1 - 22.65) / 4 x = 5.91                          and          x = -5.41  Check the validity of the x values by adding them to the length and width.  If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2  (positive value.)Width = 2(5.91) - 5  ( positive value.) x = 5.91    If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x.  The answer is x = 5.91

Hope I helped and sorry it was really long
Iteru [2.4K]3 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

Given : The area of a rectangle is 56 cm². The length is 2 cm more than x and the width is 5 cm less than twice x.

We have to find the value of x.

 

Given area of rectangle = 56 cm²

Length  is 2 cm more than x  mathematically written as

L = 2 + x

Width is 5 cm less than twice x  mathematically written as

W = 2x - 5

Thus, we know area of rectangle = length × width

Substitute, we  have,

56 = (2 + x)(2x - 5)

Multiply each term of first bracket with each term of second bracket , we have,

56=2\cdot \:2x+2\left(-5\right)+x\cdot \:2x+x\left(-5\right)

Simplify, we have,

56=2x^2-x-10

Subtract 56 both sides, we have,

2x^2-x-10-56=56-56

Simplify , we get,

2x^2-x-66=0

Using quadratic formula for the general equation ax^2+bx+c=0 , we have x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=-1,\:c=-66:\quad x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:2\left(-66\right)}}{2\cdot \:2}

Simplify, we get,

x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{529}}{2\cdot \:2}

Also, \sqrt{529}=23

We get,

x_{1,\:2}=\frac{-\left(-1\right)\pm 23}{2\cdot \:2}

Thus,

x_{1}=\frac{-\left(-1\right)+23}{2\cdot \:2}\\\\\\ x_{2}=\frac{-\left(-1\right)-23}{2\cdot \:2}

Simplify, we get,

x_1=6,\:x_2=-\frac{11}{2}

Since, x has to be whole number so x = 6

You might be interested in
A bakery makes 260 donuts in 4 hours. At this rate, how many donuts can they make in 6 hours?
RSB [31]

Answer:

390

Step-by-step explanation:

8 0
3 years ago
Please help I have 15 minutes!!!!!
OlgaM077 [116]
It is a function because each x value only has one y value
6 0
3 years ago
Read 2 more answers
Which rigid transformation(s) can map ABC onto FED
bogdanovich [222]

Answer:

I believe it would be B) Reflection, then translation

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
There are between 90 and 115 cars in a parking lot. Exactly one-fourth of them are green. Exactly one-eighth of them have a stic
Schach [20]

There are 104 cars in the parking lot.

According to statement there are between 90 and 115 cars on the lot.

So, {X| 90 < x < 115} (This renders an infinite solution set finite)

AND exactly one eight of them have a sticker on the back, so the total number of cars must be evenly divisible by eight.

X ∈ {96, 104, 112,}

AND exactly one fourth of the cars are green, so the number of cars must be evenly divisible by 4. Here all above written numbers are divisible by 4. So, find the mean to calculate the number of cars in the parking lot.

x = (96+104+112)/3

x = 104

There are 104 cars in the parking lot.

Learn more about ELIMINATION METHOD here brainly.com/question/13729904

#SPJ4

5 0
2 years ago
Kitty has 13 papers .She had drawn 5 pictures. Then Her Little Brother Ripped 5 more. How may paper does Kitty have left. Show y
podryga [215]
13-5=8
8-5=3
so the answer would be:
3

Hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • 425 is what percent of 1700
    9·1 answer
  • I’ll give brainliest
    5·1 answer
  • What is the median of this list of numbers? 6, 2, 7, 2, 3
    12·1 answer
  • PLEASE HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!
    14·1 answer
  • Each deck has 52 cards in it. Using m, write an expression for the total number of cards.
    12·1 answer
  • Find the mean and the median of the following data
    10·2 answers
  • I need help!!!!!!!!!!! Plz
    9·1 answer
  • Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per d
    12·1 answer
  • Which graph correctly shows point A as the sum of the complex numbers z1 and z2?
    14·1 answer
  • Please help me i'll rank u brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!