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The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.

The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure-example-1
User Zdim
by
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1 Answer

8 votes
8 votes

Answer:

17.6cm

Step-by-step explanation:

We use the Pythagorean Theorem to find the length of the slant sides, x, and y in the diagram below:


\begin{gathered} x^2=3^2+4^2 \\ x^2=25 \\ x^2=5^2 \\ x=5\operatorname{cm} \end{gathered}

Similarly:


\begin{gathered} y^2=3^2+7^2 \\ y^2=58 \\ y=√(58) \\ y=7.62\operatorname{cm} \end{gathered}

Therefore, the perimeter of the shaded figure:


\begin{gathered} P=1+y+x+4 \\ =1+7.62+5+4 \\ =17.62 \\ \approx17.6\operatorname{cm} \end{gathered}

The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure-example-1
User Arnav Aggarwal
by
3.1k points