Question

1. miranda bought a square frame that has an area of 30 square inches. what is the approximate side length of the frame to the nearest tenth?

Explanation:

Step1: Recall the area formula for a square

The area formula for a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A = 30\) square inches, we need to solve for \(s\). So, \(s=\sqrt{A}\).

Step2: Calculate the square root of 30

We know that \(\sqrt{30}\approx5.477\).

Step3: Round to the nearest tenth

To round \(5.477\) to the nearest tenth, we look at the hundredth digit. The hundredth digit is \(7\). Since \(7\gt5\), we round up the tenth digit. So, \(5.477\approx5.5\).

Answer:

The approximate side - length of the square frame is \(5.5\) inches.