the length of a rectangle is 6cm more than its breath when the breath is reduced by 2cm and the length is reduced by 8 cm the area of the new rectangle formed is 144 sq cm. what are the dimensions of the original rectangle.
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Step-by-step explanation:
Let the length be L and breadth be B
Given, L=8+B
Area of the board, L×B=(8+B)×B
Given, If its length is increased by 7 cm and breadth is decreased by 4 cm, its area remains unchanged.
⇒(L+7)(B−4)=L×B
But L=8+B
⇒(8+B+7)(B−4)=(8+B)×B
⇒(15+B)(B−4)=(8+B)×B
⇒15B−60+B
2
−4B=8B+B
2
3B=60
B=20 cm
So, Length =20+8=28 cm
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