the length of a rectangle is greater than 4 times its breadth by 5cm . If its length is reduced by 2cm and breadth is increased by 2 cm then area of rectangle increases by 36cm^2
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Step-by-step explanation:
If we assume the length & breadth of rectangle as L & B respectively….
Area = L * B
Perimeter = 2( L + B)
As per the condition
L* B = 2( L + B) … This is the function which relates the values of L & B
=> LB = 2L + 2B
=> LB - 2B = 2L
The above relationship concludes that L > 2●● as had this L been 2 or <2, values would be imaginary or negative… So these values are ruled out. The same applicable for the value of B too. B > 2 ●●
EXAMPLE:
If L =3, ………….(1)
=> 3B = 6 + 2B
=> B = 6
If L = 2 ……….(2)
=> 2B = 4 + 2B
=> L = 2 does not satisfy the function..
Similarly, if L = 1 …….(3)
1B = 2 + 2B
=> L = 1 , does not satify the function…
=> L > 2
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