Question

1. a rectangle has a length of 8 inches and a width of 6 inches. what is the area of the rectangle? explain how you know.

Explanation:

Step1: Recall the formula for the area of a rectangle

The formula for the area \(A\) of a rectangle is \(A = \text{length}\times\text{width}\), denoted as \(A = l\times w\).

Step2: Substitute the given values into the formula

Given \(l = 8\) inches and \(w = 6\) inches. Substitute these into the formula: \(A=8\times6\).

Step3: Calculate the product

\(8\times6 = 48\).

Answer:

The area of the rectangle is \(48\) square inches. This is because the formula for the area of a rectangle (\(A = l\times w\)) is a fundamental geometric formula. When we substitute the given length (\(8\) inches) and width (\(6\) inches) into the formula and perform the multiplication (\(8\times6\)), we get the area value.