Question

25. The area of a square is double the area of a
rectangle. The length of the rectangle is 5
cm more than each side of the square and
breadth is 12 cm less. Find the perimeter of
the rectangle. (Madhyamik 1985)​

Answer 1

Answer:

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