Question

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your answer is incorrect.
a rectangular region is removed from another rectangular region to create the shaded region shown below. find the area of the shaded region.
(diagram shows outer rectangle with 13 cm (height) and 6 cm (width), inner rectangle with 11 cm (height) and 4 cm (width))

Explanation:

Step1: Find area of outer rectangle

The outer rectangle has length \( 13 \, \text{cm} \) and width \( 6 \, \text{cm} \). The area of a rectangle is \( \text{length} \times \text{width} \), so the area of the outer rectangle is \( 13 \times 6 = 78 \, \text{cm}^2 \).

Step2: Find area of inner rectangle

The inner rectangle has length \( 11 \, \text{cm} \) and width \( 4 \, \text{cm} \). Using the same area formula, the area of the inner rectangle is \( 11 \times 4 = 44 \, \text{cm}^2 \).

Step3: Subtract inner area from outer area

To find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle: \( 78 - 44 = 34 \, \text{cm}^2 \).

Answer:

\( 34 \, \text{square centimeters} \)