Question

If the side of a square is increased by 45% by what % would it's area increase

Answer 1

Answer:

The are increased by 110.25%

Step-by-step explanation:

It is given that,

If the side of a square is increased by 45%.

Let a be the side of the square.

Rea of a square with side a is given by,

Area, A = a^2

The side of square is increased by 45%

Find the area of new square

Side = 145/100 a= 29/10a

Area = (29a/10)^2 = 2.10a^2

Find the percentage of increase

increase in area= 2.1025a - a =1.1025a

increase in percentage = (1.1025a x 100)/a = 110.25%

Answer 2

Answer:

Step-by-step explanation:

Define x:

Let the original length be x

The increased in length is 1.45x

Find the area:

Area = Length x Breadth

Original area = x²

New area = (1.45x)² = 2.1025x²

Find the increase in area:

Increase = 2.1025x - x = 1.1025x

Increase percentage = (1.1025x ÷ x ) x 100 = 110.25%

Answer: The area is increased by 110.25%