Question

what is the area of this figure? square meters submit

Explanation:

Step1: Split figure into 3 rectangles

Divide the shape into:

1. Top small rectangle: $3\text{m} \times (5+2)\text{m}$
2. Right rectangle: $(4+3+8)\text{m} \times 5\text{m}$
3. Left bottom rectangle: $7\text{m} \times (9-5)\text{m}$

Step2: Calculate area of top rectangle

$\text{Area}_1 = 3 \times 7 = 21$ $\text{m}^2$

Step3: Calculate area of right rectangle

$\text{Area}_2 = 15 \times 5 = 75$ $\text{m}^2$

Step4: Calculate area of left bottom rectangle

$\text{Area}_3 = 7 \times 4 = 28$ $\text{m}^2$

Step5: Subtract overlapping white area

White area: $8 \times 4 = 32$ $\text{m}^2$
Total Area = $\text{Area}_1 + \text{Area}_2 + \text{Area}_3 - 32$
$= 21 + 75 + 28 - 32 = 95$ $\text{m}^2$

Answer:

95 square meters