Question

find the area of the rectangle in square feet. round your answer to the nearest tenth.
3.5 meters
1.6 meters 1.6 meters
3.5 meters
ft²

Explanation:

Step1: Calculate the area in square meters

The formula for the area of a rectangle is \(A = l\times w\), where \(l = 3.5\) meters and \(w=1.6\) meters.
\(A_{m}=3.5\times1.6 = 5.6\) square - meters.

Step2: Convert square - meters to square - feet

We know that \(1\) square - meter\(\approx10.764\) square - feet.
So, \(A_{ft}=5.6\times10.764\).
\(A_{ft}=5.6\times(10 + 0.764)=5.6\times10+5.6\times0.764\).
\(5.6\times10 = 56\), and \(5.6\times0.764=(5 + 0.6)\times0.764=5\times0.764+0.6\times0.764\).
\(5\times0.764 = 3.82\), \(0.6\times0.764 = 0.4584\), then \(3.82+0.4584 = 4.2784\).
\(56+4.2784=60.2784\approx60.3\) square - feet.

Answer:

\(60.3\)