Question

round each measurement to the nearest ten. then estimate the area of the rectangle. 46 inches 82 inches 4,000 square inches 4,500 square inches 3,200 square inches 260 square inches

Explanation:

Step1: Round the length and width

Round \(46\) to the nearest ten: \(46\approx50\) (since \(6\geq5\)).
Round \(82\) to the nearest ten: \(82\approx80\) (since \(2\lt5\)).

Step2: Calculate the estimated area

The area of a rectangle is \(A = l\times w\). Using the rounded values \(l = 50\) and \(w=80\), we have \(A=50\times80\).

$$50\times80=(5\times10)\times(8\times10)=(5\times8)\times(10\times10)=40\times100 = 4000$$

Answer:

4,000 square inches