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
ra1l [238]
3 years ago
11

The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
<h3><u>S</u><u> </u><u>O</u><u> </u><u>L</u><u> </u><u>U</u><u> </u><u>T</u><u> </u><u>I</u><u> </u><u>O</u><u> </u><u>N</u><u> </u><u>:</u></h3>

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

\twoheadrightarrow \quad\sf{ Length =2(Width)-5}

\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\

  • <em>l</em> denotes length
  • <em>b</em> denotes breadth

\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\

\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\

\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\

\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\

\\ \twoheadrightarrow \quad\sf{60= 6b} \\

\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\

\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\

Now, finding the length. According to the question,

\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}

\twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m}

\twoheadrightarrow \quad\sf{ \ell=20-5\; m}

\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\

<u>Therefore</u><u>,</u><u> </u><u>length</u><u> </u><u>and</u><u> </u><u>breadth</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>r</u><u>ectangle</u><u> </u><u>is</u><u> </u><u>1</u><u>5</u><u> </u><u>m</u><u> </u><u>and</u><u> </u><u>10</u><u> </u><u>m</u><u>.</u><u> </u>

You might be interested in
Express the fraction 3/4, 7/16 and 5/8 with the LCD
____ [38]

12/16, 7/16,  10/16 (not simplified, just with LCD);The LCD of the 3 fractions is 16 (from denominators) so all we have to do is multiply both the numerator by the same number that multiplies with the denominators to get 16. We leave 7/16 alone since it already has denominator of 16.

3/4 * 4 = 12/16

5/8 * 2 = 10/16

3 0
3 years ago
Which statements are true regarding the prism? Check all that apply
denis-greek [22]
What are the choices
8 0
3 years ago
Find the greatest common factor (GCF) of the set of numbers.<br><br><br> 21, 30, 44
Vitek1552 [10]

Step-by-step explanation:

Answer attached :)

Hope it helps :D

7 0
3 years ago
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2
iren [92.7K]

Answer: Y= 3/2x-8=

Step-by-step explanation:Y=4 M= 3/2. X=-8

Y=mx+b

4 = 3/2(8)+b

4= 24/2+b

4= 12+b

-12=-12

-8=b

3 0
3 years ago
if one honeybee makes 1/12 teaspoon of honey during its lifetime,how many honeybees are needed to make 1/2 teaspoon of honey?
Lapatulllka [165]
It would take 6 honey bees to make a half
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the unit rate. $68 for 8 1/2 hour
    7·1 answer
  • Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
    9·1 answer
  • Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? 120 square centimeter
    10·2 answers
  • 20 Points NEED HELP ASAP
    5·2 answers
  • What is the vertex of the parabola whose equation is y = (x + 1)2 + 3?
    8·1 answer
  • Find an equation of the line parallel to the line y=5 and passing through -2,-3
    10·1 answer
  • I literally forgot how to do this plz help ASAP
    7·2 answers
  • Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
    12·1 answer
  • For the polyhedron, use Euler's Formula to find the missing number.
    10·1 answer
  • I need help with this question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!