Calculate the perimeter and area of the figure. Round to the nearest tenth if necessary.A) 8 mm; 15.4 mm^2B) 16 mm; 15.4 mm^2C) 16 mm; 7.7 mm^2D) 8 mm; 15.4 mm^2

Calculate the perimeter and area of the figure Round to the nearest tenth if necessaryA 8 mm 154 mm2B 16 mm 154 mm2C 16 mm 77 mm2D 8 mm 154 mm2 class=

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The Solution:

Given:

We are required to find the area and the perimeter of the given shape.

step 1:

Find the perimeter.

The formula for the perimeter is:

[tex]\begin{gathered} Perimeter=2(L+W) \\ \\ Where: \\ L=length=4.8mm \\ W=width=3.2mm \end{gathered}[/tex]

Substitute:

[tex]Perimeter=2(4.8+3.2)=2\times8=16mm[/tex]

Step 2:

Find the area.

The formula for the area is:

[tex]\begin{gathered} Area=L\times W \\ \\ In\text{ this case,} \\ L=length=4.8mm \\ W=width=3.2mm \end{gathered}[/tex]

Substitute:

[tex]Area=4.8\times3.2=15.36\approx15.4mm^2[/tex]

Therefore, the correct answer is [ option B ]

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