Question

21 mark for review the area of a rectangular region is increasing at a rate of 250 square feet per hour. which of the following is closest to this rate in square meters per minute? (use 1 meter = 3.28 feet.) a 0.39 b 1.27 c 13.67 d 23.24

Explanation:

Step1: Convert square feet to square meters

We know that \(1\) meter \( = 3.28\) feet, so \(1\) square meter \(=(3.28)^2\) square feet. First, find the conversion factor for area: \((3.28)^2 = 10.7584\) square feet per square meter. Then, to convert square feet to square meters, we divide by this factor. So, \(250\) square feet per hour is \(\frac{250}{10.7584}\) square meters per hour.

Step2: Convert hours to minutes

There are \(60\) minutes in an hour, so we divide the rate in square meters per hour by \(60\) to get the rate in square meters per minute. So the calculation is \(\frac{250}{10.7584\times60}\).
First, calculate \(10.7584\times60 = 645.504\). Then, \(\frac{250}{645.504}\approx0.387\), which is approximately \(0.39\).

Answer:

A. 0.39