Question

question
one rectangle is \framed\ within another. find the area of the shaded region if the \frame\ is 3 units wide.
answer attempt 1 out of 2

Explanation:

Step1: Find inner rectangle dimensions

The outer rectangle has length \( 11 \) and width \( 7 \). The frame is \( 3 \) units wide, so we subtract \( 2 \times 3 \) from each dimension (since the frame is on both sides) for the inner rectangle.
Length of inner rectangle: \( 11 - 2\times3 = 11 - 6 = 5 \)
Width of inner rectangle: \( 7 - 2\times3 = 7 - 6 = 1 \)

Step2: Calculate area of inner (shaded) rectangle

The area of a rectangle is \( \text{length} \times \text{width} \). So, area \( = 5 \times 1 = 5 \).

Answer:

\( 5 \)