Work out the area of the combined shapes. Practically use some rectangles, squares and triangular cut-outs to form combined shapes. Find the area of the combined shapes.

Eneo la mraba linapatikana kwa formula: $upande \times upande$.

$$A_{mraba} = 4 \text{ cm} \times 4 \text{ cm} = 16 \text{ cm}^2$$

Kuna mistatili miwili ya wima na miwili ya mlalo.
Eneo la mstatili wa wima: $4 \text{ cm} \times 8 \text{ cm} = 32 \text{ cm}^2$.
Eneo la mistatili miwili ya wima: $2 \times 32 \text{ cm}^2 = 64 \text{ cm}^2$.
Eneo la mstatili wa mlalo: $11 \text{ cm} \times 4 \text{ cm} = 44 \text{ cm}^2$.
Eneo la mistatili miwili ya mlalo: $2 \times 44 \text{ cm}^2 = 88 \text{ cm}^2$.
Jumla ya eneo la mistatili:

$$A_{mistatili} = 64 \text{ cm}^2 + 88 \text{ cm}^2 = 152 \text{ cm}^2$$

Eneo la pembetatu linapatikana kwa formula: $\frac{1}{2} \times msingi \times urefu$.
Eneo la pembetatu moja: $\frac{1}{2} \times 4 \text{ cm} \times 11 \text{ cm} = 2 \text{ cm} \times 11 \text{ cm} = 22 \text{ cm}^2$.
Eneo la pembetatu nne:

$$A_{pembetatu} = 4 \times 22 \text{ cm}^2 = 88 \text{ cm}^2$$

Jumla ya eneo ni jumla ya eneo la mraba, mistatili, na pembetatu.

$$A_{jumla} = A_{mraba} + A_{mistatili} + A_{pembetatu}$$ $$A_{jumla} = 16 \text{ cm}^2 + 152 \text{ cm}^2 + 88 \text{ cm}^2$$ $$A_{jumla} = 256 \text{ cm}^2$$

Eneo la umbo zima ni $\text{256 cm}^2$.