Gloria is digging for fossils at a geological site. She has 120 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Gloria has with her?
12 m × 10 m
50 m × 10 m
60 m × 60 m
45 m × 10 m
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OpenStudy (anonymous):
@StudyGurl14
OpenStudy (skullpatrol):
Any ideas?
OpenStudy (studygurl14):
Test each one
OpenStudy (skullpatrol):
recall the perimeter of a rectangle formula
OpenStudy (studygurl14):
For example:
The first one - 12m x 10 m
Perimeter: 2(12) + 2(10) = 44
Too little rope
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OpenStudy (skullpatrol):
$$\Huge P = 2l+2w$$
OpenStudy (studygurl14):
So..A cannot be an option. See what I did @beepboop ?
OpenStudy (anonymous):
yes o:
OpenStudy (studygurl14):
:)
OpenStudy (anonymous):
So, D
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OpenStudy (studygurl14):
not quite.
2(45) + 2(10) = 110
OpenStudy (anonymous):
right xD sorry I'm half-arsing
OpenStudy (studygurl14):
Look at b.
50 x 2 = 100
10 x 2 = 20
100+20=120
OpenStudy (studygurl14):
half-arsing...lol
OpenStudy (anonymous):
B. right
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OpenStudy (anonymous):
shhh I got it before I read that ;-;
OpenStudy (anonymous):
I don't wanna get banned for foul language haha I'm having a hard time restraining my fingers
OpenStudy (studygurl14):
lol, yea
OpenStudy (anonymous):
and you can't draw a quadrilateral with no parallel lines and at least one right angle, right? haha
OpenStudy (anonymous):
pretty sure you need parallel lines .-.
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OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
not necessarily....
OpenStudy (studygurl14):
a qudralateral is ANY figure that has four sides
OpenStudy (anonymous):
I can't really think of any that don't have parallel lines xD but thank you!
OpenStudy (studygurl14):
thsese are all quads...
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OpenStudy (studygurl14):
OpenStudy (studygurl14):
OpenStudy (anonymous):
well that makes sense xD I guess my imagination doesn't work well
OpenStudy (studygurl14):
:)
OpenStudy (studygurl14):
A parallelogram, on the other hand, is a quadrilateral that MUST have two pairs of parallel sides
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