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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.

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8 0
2 years ago
A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​$34. How many of each type of bil
jeka57 [31]

Solution:

we are given that

A student has some​ $1 and​ $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth ​$34.

So we can write

x+y=14

x+5y=34

Now solve these two equations together using substitution as follows

14-y+5y=34\\
\\
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5 0
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balu736 [363]
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so baiscally f(x) is y=x+3 but with a hole at (4,7)


one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

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84,480 pennies

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hope this helps!

Brainliest pls

Pls fully rate

Have a great day!

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