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
Alex_Xolod [135]
2 years ago
13

The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

You might be interested in
You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f
insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: y=a(b)^x and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: y=a(1-r)^x where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0
1 year ago
Read 2 more answers
PLS HELP, I need help due today<br> Math questions, I will mark brainiest if correct
Kryger [21]
The first answer is -1.4
4 0
3 years ago
Which statement illustrates the identity property of multiplication
Marina86 [1]
0000000000090000$0000770098908790087
6 0
3 years ago
Read 2 more answers
What is the unit rate of $46 for 5 toys
natita [175]
$46 divided by 5 which equals $9.50
8 0
2 years ago
Read 2 more answers
Terrance and his family are planning how to pay for his college education. The cost of tuition at his chosen college is $14,500
Finger [1]

Answer:

terrence will have to play 2900

Step-by-step explanation:

80% * 14500

14500-11600

2900

6 0
3 years ago
Other questions:
  • It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year. Assuming that the population gr
    9·1 answer
  • Thats no right the answer chocies are <br> A.700<br> b.1,200<br> C.75<br> D.100
    13·1 answer
  • Mike is tiling his kitchen floor. Each tile costs $1.79 and covers 2.25 square feet. If
    12·2 answers
  • The number of students who passed on the math exam was three-fourths of the total number of students who failed.
    10·1 answer
  • Can someone help me???<br><br> The 2nd part choices are:<br> 5,6,23,27
    8·1 answer
  • Which correlation does the two-way table suggest?
    13·1 answer
  • Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
    5·1 answer
  • 3 is the____ term<br><br>constant or variable ​
    11·1 answer
  • Which expression has the same value as the one below?
    7·2 answers
  • Please help it’s due tonight
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!