1. The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral?
realgirlrealworld answered Sunday April 8 2007, 9:40 pm: Basically, if the scale is 1:2, then each side of the larger quadrilateral is twice the length of the corresponding side of the smaller quadrilateral. So you just take the perimeter, 80 cm, times 2, which is 160 cm. Therefore, the answer is C. [ realgirlrealworld's advice column | Ask realgirlrealworld A Question ]
leLovely answered Sunday April 8 2007, 7:10 pm: C.
basically, you put 1 over 2.
then you put 80 over x.
and then you multiply.
it equals out to be 160.
if you don't understand that well, send me a message to my inbox and i'll try to explain it better!
NinjaNeer answered Sunday April 8 2007, 4:56 pm: Here's an explanation as to why C is right... knowing the answer doesn't mean anything, you have to understand it!
The perimeter of the smaller quadrilateral can be expressed as 2L + 2W = 80 or, when factored, 2( L + W)= 80. This means that L + W = 40.
If the scale is 1:2, that means that each side on the larger quadrilateral is twice as big as the corresponding side on the smaller quadrilateral.
SO...
L for the larger one is 2L, or twice the length of the corresponding side on the smaller quadrilateral. Vice versa for the width (2W).
SO...
Perimeter for the larger one is 2(2L) + 2(2W) = ??
OR
4L + 4W = ??
Factor it...
4( L + W )= ??
Above, we figured out that L + W is 40, right? Sub it in...
JeniMarie17 answered Sunday April 8 2007, 4:12 pm: if the smaller is 80 and the ratio is 1 to 2 it is simple it would be twice the size of the smaller so the bigger would be 160 beucase 80 x 2 = 160. [ JeniMarie17's advice column | Ask JeniMarie17 A Question ]
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