The length and breadth of a rectangle are in the ratio 3: 2 respectively. if the sides of the rectangle are increased by 1 meter on each side, the ratio of the length to the breadth becomes 10: 7. find the area of the original rectangle in square units.

ANSWER:  

The length and breadth of the rectangle are 18 m and 12 m.

SOLUTION:

Let the length and breadth of a rectangle be "l" and "b"

Given,length and breadth of the rectangle are in ratio 3 : 2

Then, length : breadth :: 3 : 2

-- eqn 1

After changing the length and breadth by 1 meter on both sides, length and breadth becomes L+2 and b+2

Now, the ratio of length to breadth is 10 : 7

Length : breadth :: 10 : 7

7l + 14 = 10b + 20

10b – 7l + 20 -14 = 0

10b – 7l + 6 =0  -- eqn (2)

Now, substitute “l” value in (2)

20b – 21b + 12 = 0

-b + 12 = 0

b = 12.

Substitute b value in (2)

10(12) – 7l + 6 = 0

120 + 6 = 7l

7l = 126

l = 18    

hence, the length and breadth of the rectangle are 18 m and 12 m.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation: