9. Answer: 176 m²
Step-by-step explanation:
[tex]Area_{\ \text{shaded region}}=Area_{\ \text{rectangle}}-4\cdot Area_{\ \text{corner triangles}}\\.\qquad \qquad \qquad \quad =(4+18+4)(8)-4\bigg(\dfrac{1}{2}\cdot 4\cdot 4\bigg)\\\\.\qquad \qquad \qquad \quad =\qquad (26)(8)\quad -\qquad 4(8)\\\\.\qquad \qquad \qquad \quad =\qquad \quad 208\quad -\qquad \quad 32\\\\.\qquad \qquad \qquad \quad =\qquad \qquad \quad 176[/tex]
10. Answer: 224 cm²
Step-by-step explanation:
Divide the shape into rectangles and and one triangle (see attachment).
Then find the Area for each of the segments.
Their sum is the Area of the shape. A = 10 + 55 + 105 + 54
= 224
