Dell Maths Puzzle Numerical Ability Area and Volume

If the length of a rectangle is increased by 2 units and width is decreased by 2 units, then its area is increased by 20 sq. unit. If length has been decreased by 2 units and width is decreased by 1 unit, then its area is decreased by 37 sq. unit. The area of the rectangle in sq. unit is.....?

Read Solution (Total 2)

85 sq. unit.

Let length= x units, width=y units, then area of a rectangle=xy sq. unit.
(x+2)(y-2)=xy+20 => -x + y= 12 ---(i) and
(x-2)(y-1)=xy-37 => -x -2y = -39 ---(ii)
Solving (i) & (ii), x=5, y=17
So area=xy= 5*17 = 85 sq. unit
7 years agoHelpfull: Yes(1) No(0)

Let the length be x and width be y initially.
area=length*width=xy
(x+2)(y-2)=xy+20 -----(1)eq
(x-2)(y-1)=xy-37 -----(2)eq

solving eq (1) & (2) we get,
x=5
y=17
=>area=17*5=85 sq. units
6 years agoHelpfull: Yes(0) No(0)

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