The length of a rectangle is 8 cm more than its breadth. If its length is increased by 7 cm and breadth is decreased by 4 cm, then its net fruit remains unchanged. What is the length and breadth of the rectangle?
Answers
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+B2−4B=8B+B2
3B=60
B=20 cm
So, Length =20+8=28 cm
Hope it helps you
Answer:
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 + B2 − 4B = 8B + B2
3B = 60
B = 20 cm
So, Length =20 + 8 = 28 cm
Step-by-step explanation:
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