Math, asked by flametuber2008, 5 months ago

The area of a rectangle is 100 cm2. The length and breadth of the rectangle are increased by 50% each. What will be the area of the new rectangle formed?

Answers

Answered by kourrosy49
0

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Answered by MagicalBeast
3

Let :

  • Length of rectangle = x
  • Breadth of rectangle = y

Given :

  • Area of rectangle = 100cm²
  • Length and breadth are increased by 50% each

To find : Area of new rectangle

Solution :

Initially , length = x ; breadth = y

therefore area of rectangle = length × breadth

=> 100 = xy equation 1

Now,

length is increased by 50% , it means;

new length = original length + 50% of original length

new length = x + (50/100) x

New length = x + (1/2)x

New Length = (3/2)x

Also

Breathd is increased by 50% , it means;

new breadth = original breadth + 50% of original breadth

new breadth = y + (50/100) y

New breadth = y + (1/2)y

New breadth = (3/2)y

Area of new rectangle = New length × new breadth

Area of new rectangle = (3/2)x × (3/2)y

Area of new rectangle = (9/4) ×(xy)

putting value of (xy) from equation 1, we get;

Area of new rectangle = 9×100/4 cm²

Area of new rectangle = 9×25

Area of new rectangle = 225 cm²

ANSWER : Area of new rectangle = 225 cm²

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