7. The length of a rectangle is 5 cm more than its breadth. If the length is increased by 6 cm and breadth is decreased by 3 cm, then the new perimeter becomes of the original perimeter. Find the length and breadth of the original rectangle.
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Answered by
5
Answer:
Let the breadth of the rectangle be xcm
Then it's length=x+5cm
Perimeter=2(length+breadth)
⇒70=2(x+(x+5))
⇒
2
70
=2x+5
⇒2x+5=35
⇒2x=35−5=30
⇒x=
2
30
=15cm
Breadth=x=15cm and length=x+5=15+5=20cm
Answered by
5
Step-by-step explanation:
Let the shorter side of triangle =x cm
The other side of the triangle =(x+5)cm
The area of reactangle
(x+5)(x)=150
⇒ x
2
+5x−150=0
⇒ (x+15)(x−10)=0
⇒ either x=−15 or x=+10
Since the side cannot be negative
Therefore the value of c=−15 is negligible
When x=10cm, then the other side =10+5=15cm
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