Question

what is the area of this figure?
13 cm
2 cm
2 cm
5 cm
11 cm
3 cm
4 cm
8 cm
square centimeters
submit

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length \( 13 \, \text{cm} \) and height \( 11 \, \text{cm} \). Area formula: \( A = l \times h \).
\( A_{\text{large}} = 13 \times 11 = 143 \, \text{cm}^2 \).

Step2: Calculate area of missing parts

First missing rectangle: length \( 2 \, \text{cm} \), height \( 5 \, \text{cm} \).
\( A_1 = 2 \times 5 = 10 \, \text{cm}^2 \).

Second missing rectangle: length \( 3 \, \text{cm} \), height \( 4 \, \text{cm} \).
\( A_2 = 3 \times 4 = 12 \, \text{cm}^2 \).

Total missing area: \( A_{\text{missing}} = 10 + 12 = 22 \, \text{cm}^2 \).

Step3: Subtract missing from large area

Final area: \( A = A_{\text{large}} - A_{\text{missing}} = 143 - 22 = 121 \, \text{cm}^2 \).

Answer:

121