Japuka eneo la umbo lililo hapo juu.

Hapa kuna hatua za kutafuta eneo la kila umbo:

Umbo la Kwanza (Chini): Umbo hili linaweza kugawanywa katika mstatili tatu.

Step 1: Tafuta eneo la mstatili wa kwanza (chini). Urefu = $8 \text{ sm}$, Upana = $2 \text{ sm}$. $Eneo_1 = urefu \times upana = 8 sm \times 2 sm = 16 sm^2$

Step 2: Tafuta eneo la mstatili wa pili (katikati). Urefu = $6 \text{ sm}$, Upana = $2 \text{ sm}$. $Eneo_2 = urefu \times upana = 6 sm \times 2 sm = 12 sm^2$

Step 3: Tafuta eneo la mstatili wa tatu (juu). Urefu = $4 \text{ sm}$, Upana = $2 \text{ sm}$. $Eneo_3 = urefu \times upana = 4 sm \times 2 sm = 8 sm^2$

Step 4: Jumlisha maeneo yote kupata eneo kamili la umbo. $Eneo Jumla = Eneo_1 + Eneo_2 + Eneo_3 = 16 sm^2 + 12 sm^2 + 8 sm^2 = 36 sm^2$ Eneo kamili la umbo la kwanza ni $\boxed{36 sm^2}$.

Umbo la Pili (Katikati): Umbo hili linaweza kugawanywa katika mraba mmoja wa katikati na mstatili nne zinazouzunguka.

Step 1: Tafuta eneo la mraba wa katikati. Urefu = $5 \text{ sm}$, Upana = $5 \text{ sm}$. $Eneo_{mraba} = urefu \times upana = 5 sm \times 5 sm = 25 sm^2$

Step 2: Tafuta eneo la mstatili mmoja wa pembeni. Urefu = $5 \text{ sm}$, Upana = $2 \text{ sm}$. $Eneo_{mstatili mmoja} = urefu \times upana = 5 sm \times 2 sm = 10 sm^2$

Step 3: Tafuta eneo la mstatili zote nne za pembeni. Kuna mstatili nne, hivyo: $Eneo_{mstatili nne} = 4 \times 10 sm^2 = 40 sm^2$

Step 4: Jumlisha eneo la mraba na eneo la mstatili zote nne. $Eneo Jumla = Eneo_{mraba} + Eneo_{mstatili nne} = 25 sm^2 + 40 sm^2 = 65 sm^2$ Eneo kamili la umbo la pili ni $\boxed{65 sm^2}$.

Umbo la Tatu (Juu): Umbo hili lina pembetatu na nusu duara.

Step 1: Tafuta eneo la pembetatu. Msingi = $10 \text{ sm}$, Kimo = $9 \text{ sm}$. $Eneo_{pembetatu} = \frac{1}{2} \times msingi \times kimo = \frac{1}{2} \times 10 sm \times 9 sm = 45 sm^2$

Step 2: Tafuta eneo la nusu duara. Kipenyo = $10 \text{ sm}$, hivyo rediasi $r = \frac{10 sm}{2} = 5 \text{ sm}$. $Eneo_{nusu duara} = \frac{1}{2} \times \pi \times r^2 = \frac{1}{2} \times \pi \times (5 sm)^2 = \frac{1}{2} \times \pi \times 25 sm^2 = 12.5 \pi sm^2$ Kutumia $\pi \approx 3.14159$: $12.5 \pi sm^2 \approx 12.5 \times 3.14159 sm^2 \approx 39.27 sm^2$

Step 3: Jumlisha eneo la pembetatu na eneo la nusu duara. $Eneo Jumla = Eneo_{pembetatu} + Eneo_{nusu duara} = 45 sm^2 + 12.5 \pi sm^2$ $Eneo Jumla \approx 45 sm^2 + 39.27 sm^2 = 84.27 sm^2$ Eneo kamili la umbo la tatu ni $\boxed{45 + 12.5\pi sm^2 \approx 84.27 sm^2}$.

Tuma swali linalofuata 📸