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
Thepotemich [5.8K]
2 years ago
8

Area of the rectangle is 126 sqaure meters. Length of the rectangle is 4 more than 2 times its width. Find length and width of t

he rectangle​
Mathematics
2 answers:
Anit [1.1K]2 years ago
6 0

Answer:

       length = 18 m

       width  = 7 m

Step-by-step explanation:

<h3>Finding the length and width of rectangle</h3>

       Let the width of the rectangle = w m

                                            Length = ( 2w + 4) m

Area of rectangle = 126 square meters

length * width     = 126

 (2w + 4) * w        = 126

     2w² + 4w       = 126

     2w² + 4w - 126 = 0

Divide the entire equation by 2

        w² + 2w - 63  = 0

        Sum  = 2

    Product = -63

   Factors  =  9 , (-7)        { 9 +(-7) = 2  & 9*(-7) = -63}

w² +  9w - 7w - 63 = 0       {rewrite the middle term using the factors}

w( w + 9) - 7(w + 9) =0

        (w +9)(w - 7)  = 0

{Ignore w +9 = 0, as measurement will not come in negative}

w - 7 = 0

       w = 7

length = 2w + 4

           = 2*7 + 4

           = 14 + 4

            = 18

<h3>length = 18 m</h3><h3>  width = 7 m</h3>
algol132 years ago
5 0

Answer:

  • Length of the rectangle = 18 m
  • Width of the rectangle = 7 m

Step-by-step explanation:

Given:

  • Area of the Rectangle = 126 m²
  • Length of the rectangle is 4 more than 2 times its width.

To Find:

  • Length and width

Solution:

<u>Let's assume :</u>

  • Width of the rectangle = x
  • Length of the recangle = 2x + 4

We know that,

\: \: \dashrightarrow\sf \: \: \: Length \times Width = Area_{(Rectangle)} \\  \\

On Substituting the required values, we get:

\\ \: \: \dashrightarrow\sf \: \: \:(2x+ 4)(x) = 126 \\  \\  \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2}  + 4x = 126 \\   \\ \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2}  + 4x - 126 =0 \\   \\ \\ \: \: \dashrightarrow\sf \: \: \:2( {x}^{2}  + 2x - 63) = 0 \\  \\  \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2}  + 2x - 63 = 0 \\ \\   \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2} - 7x + 9x - 63 = 0   \\  \\  \\ \: \: \dashrightarrow\sf \: \: \:x(x - 7) + 9(x - 7) \\  \\  \\ \: \: \dashrightarrow\sf \: \: \:(x - 7)(x  + 9) = 0 \\  \\  \\ \: \: \dashrightarrow\sf \: \: \: \purple {x = 7   \:  or \:  - 9} \\  \\

Length of the side of the rectangle can't be negative. So, x = 7

Hence,

  • Width of the rectangle = x = 7 m
  • Length of the rectangle = 2x + 4 = 2(7) + 4 = 18 m
You might be interested in
Helpie plzzzzzzzzzzzz my teacher really hate me ig
Lyrx [107]

Answer:

-8x-6 or -8x+-6.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
zalisa [80]

Answer:

The answe is 2/5m=4

Step-by-step explanation:

If he ate 4 of them, but it means he ate 2/5 muffins,

4 muffins = 2/5 muffins

You substitute x muffins for how much muffins she baked in all -

2/5 * x muffins = 4  or 2/5m = 4

Hope that helped :) <3

5 0
3 years ago
Does anyone wanna be friends lol?
USPshnik [31]

Answer:

hahaha me

Step-by-step explanation:

...actually how old are you though lol

7 0
3 years ago
Read 2 more answers
!PLEASE HELP GIVING BRAINLIEST!
Nat2105 [25]
.57 I would assume but it really depends on how your scaling it
7 0
2 years ago
what number must be added to 3 and 8 so that the ratio of the first number to the second number is equal to 3 :4​
Grace [21]
The answer is 12.
Steps
If that number is x
(3+x)/(8+x)=3/4
"Cross multply"
4(3+x)=3(8+x)
12+4x=24+3x
x=12
To check: add 12 to 3 and 8. 3+12=15 and 8+12=20. 15/20=3/4
3 0
3 years ago
Other questions:
  • A metalworker has a metal alloy that is 20​% copper and another alloy that is 75​% copper. How many kilograms of each alloy shou
    9·1 answer
  • Help me plz!!!!!!!!!!!!!
    10·1 answer
  • How to do fraction ?
    5·2 answers
  • Trying to solve a magic square
    7·2 answers
  • Last year a winter coat cost $175. This year the price increased 15%. What is the new price?
    9·1 answer
  • You scored 53 in fight 1 and 103 in fight 2
    12·1 answer
  • 1. Which of the following intervals shows the graph
    14·1 answer
  • Which is the longer amount? 4/10 of a dollar or 8/10 of a dollar?
    13·1 answer
  • What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...
    6·1 answer
  • The expressions 4 (y - 3) and 4y - 12 are equivalent?True or False
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!