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
sleet_krkn [62]
3 years ago
14

The area of rectangle gets reduced by 50 sq. units. If its length is reduced by 5 unit and the breadth is increased by 2 unit. I

f we increase the length by 10 units and breadth decreased by 5 units, then the area remains same. Find the length and breadth of the rectangle.
Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the length and breadth of the rectangle be a,b units respectively.

Then the area will be ab square units.

Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.

Then new area will be (a−5)(b+2).

Then according to the problem,

(a−5)(b+2)−ab=−80

or, 2a−5b=−70.......(1).

Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.

Then new area will be (a+10)(b−5).

Then according to the problem,

(a+10)(b−5)−ab=50

or, 10b−5a=100

or, 2b−a=20

or, 4b−2a=40......(2).

Now adding (1) and (2) we get

−b=−30

or, b=30.

Putting the value of b in (1) we get, a=40.

Now a+b=40+30=70.

You might be interested in
The base of a parallelogram is four times its height. If the area of the parallelogram is 324 cm2, find the base and height.
madam [21]
A = bh
b = 4h
A = 324

324 = 4h * h
324 = 4h^2
324/4 = h^2
81 = h^2
sqrt 81 = h
9 = h

b = 4h
b = 4(9)
b = 36

so the height (h) = 9 cm and the base (b) = 36 cm
8 0
3 years ago
Please answer correctly !!!! Will mark brainliest !!!!!!!!!
Burka [1]

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

8 0
3 years ago
two patterns start at 0. the rule for pattern A is add 2. the rule for pattern B is add 3. what is the value of pattern B when p
mariarad [96]

Answer:4.5

Step-by-step explanation:

A   0   1       2      3

B   0   1.5    3     4.5

7 0
3 years ago
Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
iVinArrow [24]

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}

4 0
2 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

6x-2x+2y-2y=16-8

4x=8  

x=2

Using this value in (1) we can find y.

3(2)+y=8

6+y=8

y=2

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0
3 years ago
Other questions:
  • 8 (c-9)=6 (2c-12)-4c
    9·1 answer
  • Can anyone help me with this equation please?
    9·2 answers
  • Etermine whether the conjecture is true or false. Give a counterexample for any false conjecture.
    9·1 answer
  • PLZZZ SEND HELPPP ANSWER QUICKK
    12·2 answers
  • How do you solve this?
    13·1 answer
  • Help me pleasee :((<br> MARK THE BRAINLEST
    9·2 answers
  • A sample of households in a community is selected at random from the telephone directory. In this community, 4% of households ha
    5·1 answer
  • Sandy spends 4 hours at the beach every 6 days. How many hours will she spend at the beach in 72 days
    15·1 answer
  • Help asap please!!!!! Thank you
    15·1 answer
  • K sooo, i have solve for x and the equation is 5x-7=3x+3 now move all constants to the to the other side of the equation 2x-7=3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!