Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length \( 11 \, \text{m} \) and height \( 9 \, \text{m} \). Area formula: \( A = l \times h \)
\( A_{\text{large}} = 11 \times 9 = 99 \, \text{m}^2 \)

Step2: Calculate area of the indentation

The indentation is a rectangle with length \( 5 \, \text{m} \) and height \( 4 \, \text{m} \). Area formula: \( A = l \times h \)
\( A_{\text{indent}} = 5 \times 4 = 20 \, \text{m}^2 \)

Step3: Subtract indentation area from large rectangle area

\( A_{\text{total}} = A_{\text{large}} - A_{\text{indent}} = 99 - 20 = 79 \, \text{m}^2 \)

Answer:

\( 79 \)