find the length of the side of square whose area is gicen in description

Question

find the length of the side of square whose area is to the area of rectangle with side 25 metre and 20 metre respectively given that square root 5 is equals to 2.236

Answer 1

Hi Abhinav,

 

The area of the rectangle is length X width = 25 X 20 = 500 m².

 

We want to consider a square of side s that has the same area. The area of the square is A = s².

 

Set s² = 500

 

So, s = √500

 

Or

 

s = √5 √100 since the square root of a product is the product of the square roots

 

s = 10√5

 

We are told that √5 = 2.236

 

So, s = (10)(2.236) = 22.36 meters