![\large\bf{\underline{Correct\: question}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/2sb7omciw0ks9j9sziwmaf9hzg4lk9bvgd.png)
- Base perimeter of a square pyramid is 32cm and its height is 15cm. what is its lateral surface area?
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![\large\bf{\underline{Given : }}](https://img.qammunity.org/2022/formulas/mathematics/high-school/h2zae030vw5186v3ohc4aqrt9afvrroav8.png)
- Base perimeter of square pyramid = 32 cm
![\large\bf{⟹ Base\: side =(32)/(4)=8 cm}](https://img.qammunity.org/2022/formulas/mathematics/high-school/paknevd0yle2qv90j61ffw75js0coxm9y1.png)
- height of pyramid = 15 cm
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![\large\bf{\underline{Lateral\: surface\:area :}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/hrya9fv8wql8kx2euf1kpuxyej9451g7ut.png)
![\large\boxed{4 * (1)/(2) * base \: * height}](https://img.qammunity.org/2022/formulas/mathematics/high-school/6lcsaia7hwxqot8rvod3r6cry13pmlc5wu.png)
![= 4 * (1)/(2) * 8 * 15](https://img.qammunity.org/2022/formulas/mathematics/high-school/elovov06xcxnijs1g5etn4hfcuhdn3c3uv.png)
![= 240 {cm}^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/obrwoodovc0vza3905j60h8cqqh269ti3m.png)
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![\large\bf{\underline{Hence, L.S.A }}](https://img.qammunity.org/2022/formulas/mathematics/high-school/nwela2agw2y8zhxxn4lt3cp8kmb0c8r825.png)
![\large\bf{ = 240 {cm}^(2)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/yh3zktwcoftp7s6pshpebfod0z6ita5etg.png)