Question

round each measurement to the nearest ten. then estimate the area of the rectangle. rectangle with 46 inches (width) and 82 inches (length) options: 4,500 square inches, 260 square inches, 4,000 square inches, 3,200 square inches.

Explanation:

Step1: Round the lengths to the nearest ten.

The length of the rectangle is 82 inches. Rounding 82 to the nearest ten: since the digit in the ones place is 2 (which is less than 5), we round down. So, \( 82 \approx 80 \).
The width of the rectangle is 46 inches. Rounding 46 to the nearest ten: the digit in the ones place is 6 (which is greater than or equal to 5), so we round up. Thus, \( 46 \approx 50 \).

Step2: Calculate the area of the rectangle using the rounded values.

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is the length and \( w \) is the width.
Substituting the rounded values: \( l = 80 \) inches and \( w = 50 \) inches.
So, \( A = 80 \times 50 \).
Calculating \( 80 \times 50 \): \( 80 \times 50 = 4000 \) square inches.

Answer:

4,000 square inches