The area of the garden is 120 square metre
Explanation:
The picture of the garden is shown below. In this problem, we have:
Recall that the area of a square is given by:
[tex]A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square[/tex]
On the other hand, the area of a rectangle is given by:
[tex]A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle[/tex]
Therefore:
FOR THE SQUARE:
[tex]L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}[/tex]
FOR THE RECTANGLE 1:
[tex]L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}[/tex]
FOR THE RECTANGLE 2:
[tex]L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}[/tex]
Finally, the area of a garden is the sum of the three areas:
[tex]A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}[/tex]
Learn more:
Area of a pizza: https://brainly.com/question/12878495
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