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
mamaluj [8]
1 year ago
14

the length of a rectangle is five times its width. If the perimeter of the rectangle is 84 in, find its length and width

Mathematics
2 answers:
marysya [2.9K]1 year ago
8 0
Width = 7 in

Length = 35 in


You don't know what the width is, so you can give the value for width as x, where x is an unknown value to be found. The length is five times the width, so it can be written as 5x.

Width = x
Length = 5x

The perimeter is given as 84. The perimeter of a rectangle is:

Perimeter = 2(width) + 2(length)

Substitute the values for width, length and perimeter, then solve the equation to find x.

Perimeter = 2(width) + 2(length)

84 = 2(x) + 2(5x)

84 = 2x + 10x

84 = 12x

x = 7


Substitute the value of x = 7 to find the length and the width of the rectangle.

Width = x

Width = 7 in


Length = 5x

Length = 5(7)

Length = 35 in


qaws [65]1 year ago
7 0

Answer:

width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)

Step-by-step explanation:

we know that in a rectangle not all side are same compare to a square..

therefore:

1) write the formula for perimeter down

perimeter = the sum of all side

perimeter = 2x(width) + 2x(length)

P=2(w)+2(L)

2) substitute into the equation

P =2(w)+2(L)

84=2(w)+2(5*w)

3) perform opposite operation to make w become the subject of the formula inorder to find width

48=2(w)+2(5*w)

48=2w+10w

48=12w

48/12=12w/12( the twelves cancels out)

7=w or the width is 7

4) rewrite the formula and solve

P=2(w)+2(L)

P =2(7) + 2(5*7)

P = 14 + 70

P = 48

You might be interested in
six men completed a task in 24 hours and 48 minutes. how long would it take four men to complete the same task
Komok [63]

Answer:

37 hours and 12 minutes

Step-by-step explanation:

six men completed a task in 24 hours and 48 minutes which means (24 x 60) + 48 = 1488 minutes

x is the number of minutes it would take 4 men to complete

6(1488) = 4x

8928 = 4x

x = 2232

x = 2220 + 12 or 37 hours and 12 minutes

8 0
2 years ago
Eva bought 3 rainbow trout for dinner. They weighed 3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz. She cut off the heads and the tails an
Y_Kistochka [10]

The amount of waste is 22 oz

<h3>How to determine the waste amount?</h3>

The weights of the 3 rainbow trouts are:

3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.

The total weight is:

Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz

Evaluate the sum

Total = 8 Ib 25 oz

The amount she was left with is 8 Ib 2 oz

Subtract this amount from the total

Waste = 8 Ib 25 oz - 8 Ib 2 oz

Evaluate

Waste = 22 oz

Hence, the amount of waste is 22 oz

Read more about sum and difference at:

brainly.com/question/10739762

#SPJ1

8 0
2 years ago
What is the distance between the points (4, 7) <br> and (4, -5)
damaskus [11]
The answer should be 12
4 0
3 years ago
Read 2 more answers
Jake buys apples buy the pound and they are 24 pounds in one case. Jake wants to order 480 pounds of apples so how may cases doe
torisob [31]
Lol you don’t know sjhehdhehehehehehheewk
5 0
3 years ago
Could someone help me with this?? thanks!
ANEK [815]

Answer:

Step-by-step explanation:

    1/4                     ( x+10)                   =                x -4

one fourth the sum of x and 10 is identical to x minus 4

5 0
3 years ago
Other questions:
  • Chris and Ben walked home from school. The distance Chris walked,in miles, is represented by point C on the number line. Ben wal
    9·1 answer
  • Mitchell has $18.79 in his saving account. Jermey has 3 times as much as Mitchell. Maritza has $4.57 more than Jermey. How much
    9·1 answer
  • If x can be any integer, what is the greatest possible value of the expression 1-x^2
    15·1 answer
  • I have to use trigonometric identities to solve. But I’m having trouble finding the values of cos A and sin B. Can anyone help m
    9·1 answer
  • ??????????asap!!!!!!!!
    13·1 answer
  • Please take your time but I really need anyone's help!!!!
    15·2 answers
  • The hanger image below represents a balanced equation.
    10·1 answer
  • Hey! please help on this question i'll give brainliest &lt;333 .
    15·2 answers
  • Hello Pls help and thanks
    10·1 answer
  • Please help!<br> 5^3 x 5^-7
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!