the length of a rectangle exceeds its breaths by 4cm. if the length and breath each are increased by 3cm, the area of the new rectangle will be 81sq. cm more than that of the given rectangle. find the length and breath of the given rectangle. check your answer.
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Answers
Answer:Length = 14 cm
Breadth = 10 cm
Step-by-step explanation:
Given : The length of a rectangle exceeds its breadth by 4cm . If the length and breadth are increased by 3cm each, the area of the new rectangle will be 81 square cm more than that of the given rectangle.
To find : The length and breadth of the given rectangle?
Solution :
Let b be the breadth of the rectangle,
The length of a rectangle exceeds its breadth by 4 cm
⇒ Its length = (b+4) cm
So, the area of the original rectangle
After, increasing length and breadth by 3cm
New, length= b+7 and breadth =b+3,
Thus, the new area of the rectangle is
According to the question,
Hence, the breadth of the given rectangle = 10 cm,
And, its length = 10 + 4 = 14 cm.
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