The length of a rectangle is more than breadth by 9cm . If the length and breadth are each increased by 3cm , the area of new rectangle will be 64 square cm more than the that of the given rectangle . Then what are the length and breadth of the rectangle
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1
Answer:
8cm & 17cm
Step-by-step explanation:
Let the breadth of the rectangle be x cm.
Then, the length of the rectangle is (x+9) cm.
So, area of rectangle = length x breadth =x(x+9)cm
2
Now, length of new rectangle =(x+9+3) cm =(x+12) cm and
breadth of new rectangle =(x+3) cm.
So, area of new rectangle = length × breadth =(x+12)(x+3)cm
2
According to the given condition,
(x+12)(x+3)=x(x+9)+84
⇒x
2
+12x+3x+36=x
2
+9x+84
⇒15x+36=9x+84
⇒15x−9x=84−36
⇒6x=48
⇒x=8
So, breadth of the rectangle is 8 cm and length
=8+9=17 cm.
Answered by
0
Answer:
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Step-by-step explanation:
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