Answer:
187 paving stones are needed
Explanation:
Given
Paving stone
![Length = 1m; Width = 80cm](https://img.qammunity.org/2022/formulas/mathematics/college/d999rlja5bhgc4zq0bnfqbp44g7x37xtsv.png)
Compound
![Length = 13.6cm; Width = 11m](https://img.qammunity.org/2022/formulas/mathematics/college/cmwuitx68nwq51db525xl151rzzm2h7ynt.png)
Required
Number of wires to cover the compound
Area is calculated as:
![Area = Length * Width](https://img.qammunity.org/2022/formulas/mathematics/college/14jjiqkh69peazba6khve5dmx2929knauy.png)
For the paving stone, we have:
![A_1 =1m * 80cm](https://img.qammunity.org/2022/formulas/mathematics/college/iqbs19dmri0v9ntfs1u7lg0mae8ne6sfcw.png)
Convert cm to m
![A_1 =1m * 0.80m](https://img.qammunity.org/2022/formulas/mathematics/college/g7m7on1986802oi14etdtsaukl5clz78hm.png)
![A_1 =0.8m^2](https://img.qammunity.org/2022/formulas/mathematics/college/wnrteaypeset9k7hbfi2v4bkki9y8sgbd3.png)
For the compound, we have:
![A_2 = 13.6m * 11m](https://img.qammunity.org/2022/formulas/mathematics/college/yuyeo5xxq6hb8ou3oh49cyv69swix4eayr.png)
![A_2 = 149.6m^2](https://img.qammunity.org/2022/formulas/mathematics/college/ajjzdaqp1sqsy4qmmkk6hkvpqw3c0mlzmv.png)
Divide the area of the compound by the area of the paving stone
![n = (A_2)/(A_1)](https://img.qammunity.org/2022/formulas/geography/high-school/ygywy48ubxudrq12ulyxv4k4xgfsu45ijk.png)
![n = (149.6)/(0.8)](https://img.qammunity.org/2022/formulas/mathematics/college/762xc306tw5fk5b5p5wuqe6l61udmrhzmp.png)
![n = 187](https://img.qammunity.org/2022/formulas/mathematics/college/gwba2y7lrokyr50rpoo5x08zkzzmmo4nqm.png)