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
Marysya12 [62]
3 years ago
10

A rectangle is 3 times as long as it is wide and its perimeter is 120 centimeters. find area.

Mathematics
2 answers:
MariettaO [177]3 years ago
8 0
The perimeter is the sum of the sides since opposite sides are = in rectangle add 2w+2l let x=width 3x= length 8x= 120 x=15 substitute 15 for x w=15 l= 45 area= l x w 15 x 45 = 675 area = 675 cm.
valentina_108 [34]3 years ago
6 0
The formula for perimeter is 
P = 2l + 2w
In this particular case you are given that the length is three times the width:
3l = w
In this case, you are also given:
P = 120
Therefore,
120 = 2l + 2w
At this point you have a system of equations:
120 = 2l + 2w
l = 3w
Now you can use substitution (plug in 3w for l in the perimeter equation)
120 = 2(3w) + 2w
Simplify:
120 = 6w + 2w
120 = 8w
120/8 = 8w/8
15 = w
Plug in the width into one of your original equations to get the length:
l = 3*15
l = 45
Now you know that l = 45 and w = 15
Now, you plug this information in for your equation for area:
A = l*w
A = 45*15
A = 675
The area of the rectangle is 675 cm²
You might be interested in
For what values do maximum r-values occur on the graph the polar equation
blagie [28]

Answer:

We have the function:

r = -3 + 4*cos(θ)

And we want to find the value of θ where we have the maximum value of r.

For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.

We know that the meaximum value of the cosine is 1, and it happens when:

θ = 2n*pi, for any integer value of n.

Then the answer is  θ = 2n*pi, in this point we have:

r = -3 + 4*cos (2n*pi) = -3 + 4 = 1

The maximum value of r is 7

(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)

5 0
3 years ago
Read 2 more answers
Omials<br> GCF of 96x5 and 64x2?
Agata [3.3K]
32
the greatest common factor of 480 and 128 is 32
480 / 32 = 15
128 / 32 = 4
3 0
3 years ago
An ulcer patient has been told to avoid acidic foods. If he drinks coffee, with a pH of 5.0, it bothers him, but he can tolerate
kirill [66]
The equation should look like :
[H+] = (1-a)(x) + (a)(y)
Where:
5.8 = -log [H+]
5.0 = -log x 
6.9 = -log y 
(1-a) = proportion of x
<span>a = proportion of y
so calculating a will give you the result of how many ounces are required</span>
3 0
3 years ago
Read the statements below, and then pick the one that best applies to the function y=x^2
lana [24]
The one that best applies here is the b option: The range only includes numbers greater than or equal to 0. This is because<span> when you square a number that is negative or positive, it becomes a positive</span>
8 0
3 years ago
An airplane left Miami, FL. At the same time another plane left Santiago, Chile. The two planes flew toward each other at rates
Nina [5.8K]
Since we know that LCM of both 625&575 is 14375, we must find the hours it took for both planes to arrive at this same destination.

Plane 1(625): Took 23 hours to arrive.

Plane 2(575): Took 25 hours to arrive.

Therefore, the answer should be from 23-25 hours to arrive or if looking for middle number, 24 hours exactly.

Hope this helps.
7 0
3 years ago
Other questions:
  • The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20. Find the percent decrease
    7·1 answer
  • W = WI , solve for I
    15·2 answers
  • He cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 5 units, and t
    8·1 answer
  • I need help I don't understand this at all please help me
    9·1 answer
  • 6x + 10x = 64 what does x equal?
    7·2 answers
  • The local bank has the same first coordinate as the fire department which is 6,7 but its second coordinate is half of the fire d
    14·1 answer
  • Someone buys a pen for 1.09 and paper for 2.50 how much more does the paper cost more then the pen
    7·2 answers
  • Can someone answer these for me please. I need the answers within the next few hours.
    6·1 answer
  • Last year, the Good Foods Cereal Company produced 753,295 boxes of cereal. The company
    8·2 answers
  • Everyday Math
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!