Question

what is the area of this figure?
(the figure has dimensions: 5 m, 3 m, 4 m, 3 m, 4 m, 4 m, 2 m as labeled on the yellow shape)

Explanation:

Step1: Find total base length

$4 + 4 + 5 = 13$ m

Step2: Find total height length

$4 + 3 + 3 + 2 = 12$ m

Step3: Calculate area of full rectangle

$\text{Area}_{\text{full}} = 13 \times 12 = 156$ $\text{m}^2$

Step4: Subtract missing top-left areas

First missing area: $4 \times 3 = 12$ $\text{m}^2$
Second missing area: $(4+4) \times 3 = 24$ $\text{m}^2$

Step5: Subtract missing bottom-left area

$4 \times 2 = 8$ $\text{m}^2$

Step6: Sum all missing areas

$12 + 24 + 8 = 44$ $\text{m}^2$

Step7: Subtract from full area

$156 - 44 = 112$ $\text{m}^2$

Answer:

$112$ square meters