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
Elena-2011 [213]
2 years ago
12

the legnth of a rectangle is three times its width. if the length of the perimeter is 64 in, find the length and width

Mathematics
2 answers:
egoroff_w [7]2 years ago
4 0

Answer:

  • Length and width of rectangle is 24 and 8 inches

Step-by-step explanation:

<u>Given:</u>

  • Length of rectangle is three times the width
  • Perimeter of rectangle is 64 Inches

<u>To Find:</u>

  • Length and Width

<u>Solution:</u>

Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:

Perimeter of rectangle = 2(L + B)

→ 64 = 2(3x + x)

→ 64 = 2(4x)

→ 64/2 = 4x

→ 32 = 4x

→ 32/4 = x

→ 8 = x

Hence,

  • Length of the rectangle = 3x = 3(8) = 24 inches

  • Width of the rectangle = x = 8 inches
Snowcat [4.5K]2 years ago
4 0

Answer:

  • Length = 24 inches

  • Width = 8 inches

⠀

Step-by-step explanation :

⠀

As it is given that, the legnth of a rectangle is three times its width and the perimeter is 64 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as w inches and therefore, the length will be 3w inches .

⠀

Now, According to the Question :

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 (3 x  + x )= 64 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 (4x )= 64 }}}}

⠀

{\longrightarrow \qquad { {\sf{8x= 64 }}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{64}{8}  }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 8}} }}} }\: \: \bigstar

⠀

Therefore,

  • The width of the rectangle is 8 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = 3x  }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 3 \times 8 }}}}}

⠀

{\longrightarrow \qquad{ \underline{  \boxed{ \frak{\pmb{Length = 24}}}}}} \:  \:  \bigstar

⠀

Therefore,

  • The length of the rectangle is 24 inches .

⠀

You might be interested in
The ball rolls downhill, its kinetic energy increases and its potential energy ________
lana [24]
Maximum. Hope you get it right!!
6 0
2 years ago
If 9+9=7 then what is 8???? :P
pantera1 [17]

Answer:

9+9 isnt 7

3+4 is 7

and 4+4 is 8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the equation of (2,3), slope 4
zhenek [66]

Answer:

y=4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=4(x-2)

y=4x-8+3

y=4x-5

Please mark me as Brainliest if you're satisfied with the answer.

3 0
2 years ago
Read 2 more answers
How to solve 7.86*4.6 with steps
zvonat [6]
You can either use a caculator or use pencil and paper if you know how to times the numbers line them up then time it ill show you7.86&#10;   4.6&#10;_____&#10;36.156
6 0
3 years ago
12 divided by 3 parenthesis 4
Stels [109]
12 divided by 3 equals 4. And the. Parentheses means multiply, so 4x4=16

Hope this helps! Good luck!
7 0
3 years ago
Read 2 more answers
Other questions:
  • 3x + c = 3x + 2<br> i want to know the answers to this equations
    8·2 answers
  • Flip a fair coin 25 times. what is the size of the sample space? that is, how many different sequences of heads and tails are po
    11·1 answer
  • Please help this is my last one
    6·1 answer
  • I need help with 1-3 i don’t understand that problems and its already over due
    11·1 answer
  • PLEASE HELP WITH GEOMETRY. 30 POINTS. WILL GIVE THANKS + BRAINLIEST ANSWER
    12·2 answers
  • What is <br> 7c — 3 &lt; — 7с — 28
    6·2 answers
  • I have 14 tens, 6 hundred, 7 tens /thousands, and 15 ones
    15·1 answer
  • Writing Explain how you can use an equation to make predictions about a particular relationship​
    6·1 answer
  • Alex reads about 200 words per minute. The book he needs to read is 320 pages long and has about 275 words per page. How many ho
    8·1 answer
  • Roxanne likes to fish. She estimates that 30% of the fish she catches are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!