Question

If the length of a rectangular is increase by 50%then it area is increase by what?

Answer 1

Answer:

Let length and breadth of rectangle be l and h then

Area of rectangle (A)=l×b

When length and breadth are increased by 50% then

Length =l+

2

l

=

2

3l

Breadth =

2

3b

Area of rectangle

⇒

2

3l

×

2

3b

⇒

4

9

A

Percentage increment in Area

=

A

2.25A−A

×100

=125%

This is the required answer.

Answer 2

Answer:

Let length and breadth of rectangle be l and h then

Area of rectangle (A)=l×b

When length and breadth are increased by 50% then

Length = l + 1 /2 = 31  /2

Breadth = 3b  / 2

Area of rectangle  

31  /2 x 3b  / 2

= 9 /4 A

Percentage increment in Area

2.25A−A / A x 100

=125%

This is the required answer.

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