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3 years ago

15

Cora makes a scarf with cloth rectangles and triangles. For every 55 pieces of cloth, 22 are rectangles. She needs 1515 pieces o

f cloth to complete her scarf.
How do you properly solve his?HELP ME PLZ!!!

1 answer:

shtirl [24]3 years ago

4 0

Do you want me to find the amount of rectangles in the scarf?

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Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
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\end{array}~~ 
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d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
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\\\\\\
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and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
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\end{array}~ 
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\\\\\\
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\\\\\\
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\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

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