Rectangular garden

Rectangular garden has a length of 48.7 m, a width of 6.3 meters shorter than the length. How much mesh should be bought for its fencing if the gate is 2.9 m long and the gate 1.1 m? What is the area of the garden?

Correct result:

x =  178.2 m
S =  2064.88 m²

Solution:

$$\begin{gathered} a=48.7\text{ m } \\ b=a-6.3=48.7-6.3={\displaystyle \frac{212}{5}}=42\frac{2}{5}=42.4\text{ m } \\ c=2.9+1.1=4\text{ m } \\ x=2\cdot (a+b)-c=2\cdot (48.7+42.4)-4={\displaystyle \frac{891}{5}}=178\frac{1}{5}={\displaystyle \frac{891}{5}}\text{ m}=178.2\text{ m} \end{gathered}$$

$S=a\cdot b=48.7\cdot 42.4={\displaystyle \frac{51622}{25}}=2064\frac{22}{25}={\displaystyle \frac{51622}{25}}{\text{m}}^2=2064.88{\text{m}}^2$

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