# A rectangle has dimensions 40m × 25m. If the length and breadth are increased by 15% find the percentage increases in its area.

Area of the rectangle can be obtained by multiplying its length and breadth.

## Answer: The percentage increase in the area of the rectangle is 32.25%.

Let's find first the area of the given rectangle then percentage increase in its area.

## Explanation:

Let's draw a diagram of the rectangle

Since the rectangle has dimensions 40m × 25m

Therefore, AB = 40 cm and BC = 25cm

Area of this given rectangle = Length × Breadth

= AB × BC

= 40 × 25 = 1000m^{2}

Let's draw a diagram of the rectangle if the length and the breadth are increased by15%,

Now, the new dimensions of the rectangle would be,

New Length, A'B' = 40 + 40 × 15 × 100% = 40 + 6 = 46m

New Breadth, B'C' = 25 + 25 × 15 × 100% = 25 + 3.75 = 28.75m

Now, Area of this given rectangle = New Length × New Breadth

= A'B' × B'C'

= 46 × 28.75 = 1322.5m^{2}

Now, percentage increase in the area of the rectangle = (Change in Area / Initial Area) × 100%

= (1322.50 - 1000) / 1000 × 100%

= 322.50 / 1000 × 100%

= 32.25%