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
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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