Question

5. The length of rectangle is 3 more than its

breadth. If area of rectangle is 240m2

. Find the

dimensions of rectangle.​

Answer 1

Answer:

Let the breadth of the given rectangle be x cm.

Then, length =(x+8) cm

Now area =240cm

2

⇒length×breadth=240⇒(x+8)x=240

⇒x

2

+8x−240=0⇒x

2

+20x−12x−240=0⇒(x+20)(x−12)=0

⇒x=12orx=−20

But x cannot be negative, So, x=12

Hence, length =x+8=12+8=20cm and breadth =12cm

Answer 2

Step-by-step explanation:

Let the breadth of the reactangle be x.

therefore, Length = 3x

Area of reactangle = L * B

(3x) (x) = 240m²

3x² = 240

x² = 240/3

x² = 80

x = √80

3x = √80

x = 3√80