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
Solve for x: 3x + 4 = 9
coldgirl [10]

Answer:

x=1.6 repeating. I hope this helped

3 0
3 years ago
Read 2 more answers
Help me please I need it
koban [17]
Unfortunately, you inadvertently cut off the instructions for this problem when you photographed it.  Could you try again, making certain to include the instructions?

Let me guess:  perhaps the instructions are 1) determine the slope of the line passing through the given points, or 2) write the equation of the line passing through the given points.


5 0
3 years ago
amina bout an air cooler for a AED 3300 including VAT of 5% find the price of the air cooler before VAT was added
Olenka [21]
Cost of air cooler:-3,300
vat added:- 5%
so, price before vat was added:-5/100×3,300=AED165
8 0
3 years ago
Dr. Sandoval, a farm veterinarian, just weighed a particular pig and found out it is 96 kilograms. The last time she checked, th
slega [8]
4% because 100=100% -4 =96
4 0
3 years ago
What is the area of this polygon
iragen [17]

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine
    9·1 answer
  • Write the expression in WORDS!<br><br> 5x + 3
    5·1 answer
  • A car costs $30,496 (with taxes and fees included). Bryan is learning about place value and tells his dad that the 4 represents
    10·1 answer
  • A grocery store is offering a 50% discount off a $4.00 box of cereal. You also have a $1.00 off coupon for the same cereal. Use
    6·1 answer
  • Urpi wants to buy towels online. There are two stores with the kind of towel she wants. The first store charges $20 per towel, a
    14·2 answers
  • Brayden adds 1/3 cup of flour into a mixture every 1/2 minutes. What is the rate, in cups per minutes, at which Brayden adds flo
    6·1 answer
  • sally deposited $4,000 in a certificate of deposit that paid 2.75% interest compounded annually. what was her balance after one
    15·1 answer
  • I need help for number 6 please
    7·2 answers
  • How many miles is the perimeter of her walk?
    10·1 answer
  • An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. W
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!