Question

avis dining room measures 124 square feet and is in the shape of a square. which is the best estimate of the length of one side of the room, to the nearest tenth of a foot? 10.9 feet 11.1 feet 11.4 feet 10.7 feet

Explanation:

Step1: Recall the formula for the area of a square

The area formula of a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A = 124\) square feet, we need to find \(s\). So, \(s=\sqrt{A}\), and \(s = \sqrt{124}\).

Step2: Estimate the value of \(\sqrt{124}\)

We know that \(10^{2}=100\), \(11^{2}=121\), and \(12^{2} = 144\). Since \(124\) is close to \(121\).
We can also use a calculator: \(\sqrt{124}\approx11.1355\).
Rounding \(11.1355\) to the nearest tenth, we look at the hundredth digit. The hundredth digit is \(3\), and according to the rounding rule (\(a\approx b\) if the digit after the required decimal place is less than \(5\)), \(11.1355\approx11.1\).

Answer:

\(11.1\) feet