Question

If the length of a rectangle is tripled while the breadth remains the same then the area of rectangle will b how many times

Answer 1

let the length of the rectangle is l.

and so the breadth is b.

therefore area is (l × b) = lb.

now the length is tripled ie. 3×l = 3l.

breadth is same ie. l

so new area = (3l × b) = 3lb.

old area : new area = lb : 3lb = 1: 3.

so the new area becomes 3 times the older.

Answer 2

Answer:

Let's consider the length of the rectangle is 10cm and breadth is 5cm.

Therefore,

Area of rectangle = l × b

= 10 × 5

= 50cm

Now let's triple the length

=10 × 3

=30 cm

Therefore now,

Area of rectangle

= l × b

= 30 × 5 ..............( Breadth is not changed)

=150

Therefore the area will be how many times??

= 2nd Area ÷ 1st area

= 150 ÷ 50

= 3 times

Therefore the area will be 3 times