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
How to solve 2/3(6x-9)=-34
castortr0y [4]
\frac{2}{3} (6x-9)=-34 \\ \\  \frac{2(6x - 9)}{3} =-34 \\ \\  \frac{2 \times 3(2x-3)}{3} =-34 \\ \\  \frac{6(2x - 3)}{3} = -34 \\ \\ 2(2x - 3) = -34 \\ \\ 2x - 3 - \frac{34}{2} \\ \\ 2x - 3 = -17 \\ \\ 2x -17 + 3 \\ \\ 2x = -14 \\ \\ x = - \frac{14}{2} \\ \\ x = -7 \\ \\ Answer: \fbox {x = -7}
5 0
3 years ago
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate? (Pls I
lukranit [14]

Answer:

a : 6

b : 240

c : 166.7 or 166.666666667

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Read 2 more answers
You want to get a Dodgers shirt for Opening Day. The shirt you want is $36. Luckily, it is marked 25% off. You will have to pay
OlgaM077 [116]

Answer:

Part A

= $9

Part B

= $3.24

Part C

= $30.24

Step-by-step explanation:

Part A

= 36÷100x25

= $9

Part B

=36÷100x9

=$3.24

Part C

=36-9

=27

Then

=27+3.25

= $30.24

6 0
2 years ago
Find the diameter, approximate circumference and area of the circle below. (Use 3 for π)
vovikov84 [41]

Answer:

Circumference = 42

Area = 147 to the power of 2

Step-by-step explanation:

7x2=14 diameter

3x14=42 circumference

Area = 7x7x3 =147 to the power of 2

5 0
3 years ago
Read 2 more answers
Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t
Elenna [48]
\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{llccll} f(x) = &{{ 1}}x^2&{{ -8}}x&{{ +15}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\textit{so the line of symmetry will be at }x=-\cfrac{{{ b}}}{2{{ a}}}
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which shape is used to mark equal distances in a construction?
    5·2 answers
  • Write as many equations as possible that could represent the relationship between the ages of the two children in each family de
    5·1 answer
  • Help me please having trouble!?
    5·1 answer
  • What is the equation of the two points 3,5 and 5,0
    7·1 answer
  • Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...
    14·1 answer
  • If f = 3, g = -4 and h = -5 <br> [3-h]+13
    12·2 answers
  • Which statement listed below illustrates the reflexive property of congruence
    11·1 answer
  • Please help now I need help pleaseeee
    10·1 answer
  • A line passes through the points (4, 9) and (12, 20). What is the slope of the line?
    11·1 answer
  • Choose the model that shows the correct answer to this problem: <br> PLS ANSWER WILL GIVE BRAINIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!