Question

the length of the rectangle exceeds the breadth by 6 cm . if the length is increased by 3 cm and breadth decreased by 2 cm, the area remains the same. find the length and breadth of rectangle

Answer 1

Hii friend,

Let the Breadth of the rectangle be X cm

Then the Length of the rectangle be (X+6) cm

Area of rectangle = Length × breadth

=> (X+6)× X= X²+6X.

Length is increased by 3 then the Length become (X+6+3) and Breadth is decreased by 2 then the Breadth become (X-2).

Area of rectangle remians same.

Therefore,

Area of the rectangle = Length × Breadth

X²+6X = (X+9) × (X-2)

X²+6X = X(X-2) +9(X-2)

X²+6X =X²-2X +9X -18

X²-X²+6X = 7X -18

7X-6X = 18

X = 18 cm

Breadth of the rectangle = X = 18 cm

And,

Length of the rectangle = (X+6) = (18+6) = 24 cm

And,

Area = L × B = 18 × 24 = 432 cm²

HOPE IT WILL HELP YOU.... :-)

Answer 2

Answer:

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