Rectangular plot

The rectangular plot has sides 20 m and 28 m long. Calculate the area of the plot and find out how long the longer side of the plot with the same area must be if the shorter side is 16 meters long. Also, calculate the length of the fence around each plot.

Final Answer:

S =  560 m²
d =  35 m
o₁ =  96 m
o₂ =  102 m

Step-by-step explanation:

$$\begin{gathered} a=20\text{m} \\ b=28\text{m} \\ S=a\cdot b=20\cdot 28=560{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} c=16\text{m} \\ d=S/c=560/16=35\text{m} \end{gathered}$$

$o_1=2\cdot (a+b)=2\cdot (20+28)=96\text{m}$

$o_2=2\cdot (c+d)=2\cdot (16+35)=102\text{m}$

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