Question

Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.

area exact side length estimite side length
100 square units ------ units
95 square units bettween ----- and -----
36 square units -------units
30 square units bettween ----- and -----

Answer 1

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

`A=a^2`

Where, a is the side length of the square.

`a=√(A)`

Area of the square is 100 square units. So, the side length is:

`a=√(100)`

`a=10`

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

`a=√(95)`

It is not exact. We know that
`√(81)<√(95)<√(100)`.

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

`a=√(36)`

`a=6`

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

`a=√(30)`

It is not exact. We know that
`√(25)<√(30)<√(36)`.

Therefore, the side length is between 5 and 6.