Question

if the length of a rectangle is increase increase by 20%and the breadth is increase by 50%​

Answer 1

Answer:

80% increase in Area

Step-by-step explanation:

What is percentage increase in Area?

Let,

• Length = L
• Breadth = B

Then,

• Area of rectangle = LB

After increasing length and breadth

New Length = L + (20% of L)

= L + (20/100 × L)

= L + 0.2L

= 1.2L

New Breadth = B + (50% of B)

= B + (50/100 × B)

= B + 0.5B

= 1.5B

New Area = Length × Breadth

= 1.2L × 1.5B

= 1.8LB

%increase = [(New - Old)/Old] × 100

= [(1.8LB - LB)/(LB)] × 100

= 0.8LB/(LB) × 100

= 0.8 × 100

= 80

Answer 2

AnswEr :

• Length = 20% Increase
• Breadth = 50% Increase

$\boxed{\large \bold{Change~in~Area = (L + B) + \frac{L \times B}{100} }}$

$\large \bold{Change~in~Area = (20 + 50) + \frac{20 \times 50}{100} }$

$\large \bold{Change~in~Area = 70 + 10}$

$\red{\large \bold{Change~in~Area = 80\%~Increase}}$