Question

what is the area of this figure? figure with dimensions: left square 6m x 6m, top extension 2m, middle section with 4m indent 2m, right top 3m x 2m, bottom vertical 8m x 2m

Explanation:

Step1: Calculate area of left square

$\text{Area}_1 = 6 \times 6 = 36 \, \text{m}^2$

Step2: Calculate area of top right rectangle

First find its length: $4 + 3 = 7 \, \text{m}$
$\text{Area}_2 = 7 \times 2 = 14 \, \text{m}^2$

Step3: Calculate area of bottom rectangle

$\text{Area}_3 = 8 \times 2 = 16 \, \text{m}^2$

Step4: Sum all areas

$\text{Total Area} = 36 + 14 + 16$

Answer:

66 square meters