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
Gennadij [26K]
2 years ago
7

The length of a rectangle is 4 cm greater than its breadth. if the perimeter of the rectangle is 32cm what is the length and wid

th​
Mathematics
2 answers:
marysya [2.9K]2 years ago
5 0

Given :

  • The length of a rectangle is 4 cm greater than its breadth. The perimeter of the rectangle is 32cm.

To Find :

  • The Length and width of the rectangle.

Solution :

We know that,

\qquad{ \bold{ \pmb{2(Length + Width) = Perimeter}}}

So,

  • Let's assume the length of the rectangle as x cm. Then the breadth will become (x – 4) cm.

Now, Substituting the given values in the formula :

\qquad \dashrightarrow{ \sf{2[x + (x-4)] = 32}}

\qquad \dashrightarrow{ \sf{2(x + x-4) = 32}}

\qquad \dashrightarrow{ \sf{2(2x-4) = 32}}

\qquad \dashrightarrow{ \sf{4x-8= 32}}

\qquad \dashrightarrow{ \sf{4x= 32 + 8}}

\qquad \dashrightarrow{ \sf{4x= 40}}

\qquad \dashrightarrow{ \sf{x=  \dfrac{40}{4} }}

\qquad \dashrightarrow{\pmb{ \bf{x=  {10} }}}

Therefore,

  • Length = 10 cm
  • Width = (10 – 4) = 6 cm
frozen [14]2 years ago
4 0
<h3>Given: </h3>

  • The length of a rectangle is 4 cm greater than its breadth.
  • Perimeter of the rectangle is 32cm

<h3>To Find:</h3>

  • Length and width

<h3>Solution: </h3>

  • Let Breadth of rectangle be x cm
  • and Length = x + 4

<h3>Using Formula: </h3>

  • Perimeter of rectangle = 2(L + B)

➞ 32cm = 2(x + x +4)

➞ 32 = 2x + 2x + 8

➞ 32 = 4x + 8

➞ 32 - 8 = 4x

➞ 24 = 4x

➞ x = 24/4

➞ x = 6cm

<u>Therefore</u>,

  • Breadth = 6 cm
  • Length = 4 + x = 10cm
You might be interested in
Answer it pls option c
Troyanec [42]

Answer:

x = \frac{1}{4}

Step-by-step explanation:

\frac{x}{2} +\frac{3}{4} =\frac{7}{8}

→ Find the LCM of the denominators (2,4 and 8)

LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

4x + 6 = 7

→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

x = \frac{1}{4}

5 0
3 years ago
Read 2 more answers
How can you use transformations to graph this function? y=3x7^-x+2
Norma-Jean [14]

Answer:

hmm is that 3 times 7⁻ˣ + 2?


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Help me please, i need an answer asap
Artyom0805 [142]

Answer:

answer is A - library books by genre and by Adult or Child

Step-by-step explanation:

your column on the left will have different genre of books

your top column will have children or adults

7 0
2 years ago
Toby exercises 14 hours a week. John exercises 20% more than Toby and Jenny exercises two more hours than John. Which expression
sleet_krkn [62]
John exercised 20% more than Toby. So the number of hours that John exercises per week is 14 + 0.2(14) = 14 + 2.8 = 16.8.

Jenny exercises two more hours than John. So the number of hours that Jenny exercises per week is 16.8 + 2 = 18.8.

So an expression representing the number of hours that Jenny exercises after w weeks is 18.8w.
8 0
3 years ago
Read 2 more answers
Write an equation for this graph for all lines using the equation (y = mx + b)
Rasek [7]

Answer:

0

Step-by-step explanation:

<em>(y = mx + b)  </em>just means<em>  y = slope multiplied by constant rate of change + y - intecept. </em>

Y - intercept is the starting ammount or the ammount paired with 0. (0,...)

You can find slop by using the equation<em> y1 - y2 divided by x1 - x2.</em>

Then lastly x in the number that in running along the middle line.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the circle x2 + y2 + 10x + 6y + 18 = 0.
    5·2 answers
  • Aubrey has a new art bow in the shape of a rectangular prism/12613021/1bec17ed?utm_source=registration
    5·1 answer
  • Hey can you please help me posted picture of question
    6·2 answers
  • if the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does it h
    15·1 answer
  • Solve for x:<br><br> X/2=8 <br><br> A)x=17<br><br> B)x=18<br><br> C)x=16<br><br> D)x=12
    8·2 answers
  • The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in
    10·1 answer
  • DOES ANYONE KNO WHAT 1+1=???????????
    13·2 answers
  • Find the zero of the function.<br> g(x) = x2 + 22x + 121<br> The zero of the function is x=
    15·1 answer
  • 4. Solve the following system of equations for x.
    6·1 answer
  • Help quick help quick help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!