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Directions: Find the area of each figure.(Hint: Round to the nearest tenth.)8 cmBlank 1:I

Directions: Find the area of each figure.(Hint: Round to the nearest tenth.)8 cmBlank-example-1
User Gopal SA
by
2.6k points

1 Answer

13 votes
13 votes

Let's suppose that the dashed line bisect the right angle and the figure is a square. Then, we can draw the following picture

then, we can draw the following right triangle

and we need to find x. This can be done as


\cos 45=(x)/(8)

then x is equal to


x=8\cos 45

since cos 45 is


\cos 45=\frac{1}{\sqrt[]{2}}

then, x is given by


x=\frac{8}{\sqrt[]{2}}

We can note that the length of one side of our square is


L=2x

so, the one side is equal to


\begin{gathered} L=2*\frac{8}{\sqrt[]{2}} \\ L=8\sqrt[]{2} \end{gathered}

Since the area of a square is


A=L^2

the area of our figure is equal to


\begin{gathered} A=(8\sqrt[]{2})^2 \\ A=64*2 \\ A=128 \end{gathered}

That is, the area of the square is equal to 128 centimeters squared.

Directions: Find the area of each figure.(Hint: Round to the nearest tenth.)8 cmBlank-example-1
Directions: Find the area of each figure.(Hint: Round to the nearest tenth.)8 cmBlank-example-2
User Ayorosmage
by
2.8k points
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