Respuesta :

[tex]B)\text{99 square meters}[/tex]

Explanation

to solve this divide the figure into 3 rectangles, so

Step 1

find the area of the rectangles

the area of a rectangle is given by:

[tex]\begin{gathered} \\ \text{Area}_{rec\tan gle}=length\cdot widht \end{gathered}[/tex]

then, find the areas

let

a)Rectangle 1(blue)

length=12

width=4

[tex]\begin{gathered} Area_1=12\cdot4 \\ Area_1=48\text{ square meters} \end{gathered}[/tex]

b)

Rectangle 2

length=12

width=3

[tex]\begin{gathered} Area_2=\text{ 12}\cdot3 \\ Area_2=36\text{ square meters} \end{gathered}[/tex]

c)

Rectangle 3

Length=5

Width=12-4-5=3

[tex]\begin{gathered} \text{Area}=5\cdot3 \\ \text{Area}=15\text{ square meters} \end{gathered}[/tex]

Step 2

find the total area

[tex]\begin{gathered} \text{total area= Area}_1+Area_2+Area_3 \\ \text{replace} \\ \text{total area= (48+36+15)m}^2 \\ \text{total area=99 square meters} \end{gathered}[/tex]

I hope this helps you

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