Irregular

Calculate the area and perimeter of a garden created from a rectangular plot measuring 10 m by 20 m after cutting off one corner measuring 6 m by 7 m. The removed rectangular section has sides parallel to those of the main plot. Did the perimeter of the resulting irregular hexagonal shape increase?

Final Answer:

S =  158 m²
o =  60 m

Step-by-step explanation:

$$\begin{gathered} a=20\text{m} \\ b=10\text{m} \\ x=6\text{m} \\ y=7\text{m} \\ {S}_1=a\cdot b=20\cdot 10=200{\text{m}}^2 \\ {S}_2=x\cdot y=6\cdot 7=42{\text{m}}^2 \\ S=S_1-S_2=200-42=158{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} o=a+b+(a-x)+y+(b-y)+x \\ o=2\cdot (a+b)=2\cdot (20+10)=60\text{m} \end{gathered}$$

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