Question

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. ​

Answer 1

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

Answer 2

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