Question

The length and breadth of a rectangle are increased by 20 and 10 respectively. What is the percentage increase in the area of the rectangle?

Answer 1

Percentage increase in area will be 30%

Step-by-step explanation:

Let’s suppose original length be x and breadth be y units.

We know that, Area of rectangle = length × breadth

So, original Area = x × y = xy units²

Now, The length and breadth of rectangle are increased by 20% and 10% respectively.

20% increase means 20/100 = 0.20 of original length

40% increase means 40/100 = 0.10 of original breadth

Hence,

Length after increase = x + 0.20x = 1.20x unit

Breadth after increase =y + 0.10y = 1.10y unit

Area after increase = 1.20x × 1.10y

Area after increase = 1.30xy units²

Increase in area = area after increase - original area

Increase in area = 1.30xy - xy = 0.30xy units²

Percentage increase in area of rectangle

= 0.30xy/xy × 100

= 0.30 × 100

= 30%

Thus percentage increase in area will be 30%

Percentage increase in area will be 30%