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
densk [106]
3 years ago
5

The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang

le will be 84 cm square more than that of the given rectangle. Find the length and breadth of given rectangle.... (A)8 cm (B)16 cm (C)9 cm (D)17 cm Note: There is no diagram Related to this question....
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

        = x * (x + 9)

       = x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² +  9x

Use FOIL method

x*x  + x*12 + 3*x + 3*12 = 84 + x² + 9x

      x² + 12x + 3x + 36  = 84 + x² + 9x  {add the like terms}

             x² + 15x  + 36  = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

      6x - 48 = 0

             6x = 48

             x = 48/6

        x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

You might be interested in
9+7r>r–3≥7r+3
Ymorist [56]
I just answered this one

6 0
2 years ago
Pls help I’ll give extra pints
Sonja [21]

Answer:

pls help with what brainlics

4 0
3 years ago
Read 2 more answers
What is the answer and how to do this?​
zhenek [66]

Answer:

<u>a</u>

Step-by-step explanation:

Given :

⇒ P (Sumit) = 1/2

⇒ P (Sujan) = 1/3

⇒ P (Rakesh) = 1/a

⇒ P (total) = 3/4

============================================================

Solving :

⇒ 1/2 × 1/3 × 1/a = 3/4

⇒ 1/6 × 1/a = 3/4

⇒ 2/12 × 1/a = 9/12

⇒ a = <u>9/2</u>

6 0
1 year ago
There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yello
Zinaida [17]

Answer:

<h3>a) 5 flowers</h3><h3>b) Trapezoid</h3>

Step-by-step explanation:

For one flower, the following shapes are used;

6 yellow hexagons, 2 red trapezoids and 9 green triangles

If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60

30 = 6*5

50 = (2*5)+40

60 = (9*5)+15

We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.

Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)

7 0
3 years ago
Please i really need it rn pls
Step2247 [10]

The 3rd option is correct

7 0
2 years ago
Read 2 more answers
Other questions:
  • Margarita is hired by an accounting firm at a salary of $60,000 per year. Three years later her annual salary has increased to $
    11·1 answer
  • after working out for just 8 minutes,ron has burned 56 calories. how many minutes must he work out if he wants to burn 392 calor
    6·2 answers
  • What is the least common multiple of 6 and 8?
    11·2 answers
  • An English class has read the first 384 pages of their novel.
    13·1 answer
  • X<br><img src="https://tex.z-dn.net/?f=x-%209%20%3D%200" id="TexFormula1" title="x- 9 = 0" alt="x- 9 = 0" align="absmiddle" clas
    11·1 answer
  • Seven and eight hundredths in expanded and standard form
    15·1 answer
  • Please help Algebra . ASAP
    14·1 answer
  • If f(x)=x2-1, what is f(4)?
    10·2 answers
  • A cafeteria made 28.5 liters of lemonade. How many gallons of lemonade did the cafeteria make? (1 gallon is approximately 3.8 li
    9·1 answer
  • *NEED HELP QUICKLY*
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!