Question

The area of a square is 118 m2. Kelli says that each side of the square is approximately 10.9 m. Is Kelli correct?

Explain how you know.

Answer 1

To determine if Kelli is correct, we need to find the length of each side of the square given its area.

The area of a square (A) is calculated by squaring the length of one of its sides (s):

A = s^2

We know that the area of the square is 118 m². To find the length of a side, we need to take the square root of the area:

s = √A
s = √118

Approximately,

s ≈ 10.86 m

Kelli's estimation of each side being approximately 10.9 m is close but slightly off. The correct value is closer to 10.86 m. However, considering that it's an approximation, Kelli's estimate can be considered reasonably accurate.

Answer 2

Kelli is close to the truth if one considers that the approximation of 118.81 is equal to 118

Explanation:

Area of a square = side²

Then:

let´s see if:

118 = 10.9²

10.9² = 10.9 * 10,9 = 118.81

118 is approximately equal to 118.81