Question

If a 4x16 rectangle has the same area as a square what is the length of side of the square?

Answer 1

We need some definitions for this one :). Let's start by defining a square.

A square is a special rectangle with all sides equal to each other.

Now let's do the algebra.

The area of a 4 x 16 rectangle would be 64units².

Now all we need to do is find the square root of 64. If you don't know, finding the square root of a number basically means finding a number that when multiplied by itself equals 64. Which number times itself equals 64? Your answer is 8!

We needed to find the square root because we know that it would not be a square unless all sides are the same length.

Hope this makes sense. Good luck!

Answer 2

Answer:

Side of square = 8 units

Step-by-step explanation:

Points to remember

Area of square = Side x Side

Area of rectangle = Length x Breadth

It is given that, a rectangle with dimension 4 x 16

Area of square is equal to area of rectangle

To find the area of rectangle

Area = Length x breadth

 = 16 * 4 = 64  units square

To find the side of square

Area = side * side

64 = side²

side =√64 = 8 units

Therefore side of square = 8 units