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
miv72 [106K]
3 years ago
7

The rectangle shown has a perimeter of 146 cm and the given area. Its length is 7 more than five times its width. Write and solv

e a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
dangina [55]3 years ago
5 0

Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute:  2W + 10W + 14 = 146

Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

You might be interested in
List some factors of 18 and 54
Jobisdone [24]
18=3x6,9x2
54=54x1,18x3
6 0
3 years ago
Round 67,436,828,104 to the nearest million
S_A_V [24]
It would be 67,437,000,000 since the eight in 67,436,(8)28,104 rounds the 6 up to a 7.
4 0
3 years ago
Read 2 more answers
PLZ HURRY
alina1380 [7]

Answer:

One

Step-by-step explanation:

x+4y = 6

if why is 2x-3 plug it in

x+4(2x-3) = 6

simplify it and you get

x=2

5 0
3 years ago
Read 2 more answers
Write and solve an equation to represent the following situation.
LuckyWell [14K]

Answer:

6 + 7x = 27

x = 3cm

Step-by-step explanation:

so the question lets us know 3 things:

1) Sarah has a 27 ft pipe

2) she cuts 6 ft off

3) she cuts remaining pipe into 7 equal sections

what we don't know from the question is how big each of those 7 sections were. To form the equation we do this.

Since we know Sarah has 27 ft of pipe that would be our answer of the equation.

Sarah also removed 6 ft and the rest of the pipe she cut up into 7 small sections of equal length. since we don't know the length of the 7 smaller sections we will use the variable X to represent the length. this means that 6ft + 7x (X is the length of the pipes, and we multiply by 7 since there are 7 of them) must equal Sarah's total length of 27ft, therefore meaning our education would be

6 + 7x = 27

to solve for how long each pipe was, we need to solve for X by rearranging the equation as shown bellow.

7x = 27 - 6

7x = 21

x =  \frac{21}{7}

x = 3cm

4 0
3 years ago
How do u guys do a step by step explanation on this app sorry I’m new
sukhopar [10]

Answer:

Usually people don't give step by step explanations but you could explain how you solved it  for example

x=5

Step-by-step explanation:

and then show how you solved the equation "2x=10"

5 0
3 years ago
Other questions:
  • The equation d=rt is used to calculate distance, rate, or time, where dd is the distance (in meters), r is the rate (in meters p
    14·2 answers
  • Geometry Homework... Have been absent and trying to catch up. Any help is appreciated :)
    12·1 answer
  • Convert 77/200 into a decimal
    10·1 answer
  • If the scale on a map is 1/4 in. = 50 miles, how many miles do 3 3/8 inches represent?
    12·2 answers
  • In order to prove that traingle ADC is congruent to triangle ABC by SAS, we would need to show that
    10·1 answer
  • Find the simplified form of the expression. Give your answer in scientific notation. (8x10^4)(9x10^-8)
    14·2 answers
  • If a roadrunner bird can run 14 miles per hour, that's 7 times faster than an ostrich can walk. How fast does an ostrich walk?
    10·1 answer
  • PLEASE HELP
    6·1 answer
  • The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the
    10·1 answer
  • Tell whether the angles are complementary or supplementary. Then find the value of x.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!