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max2010maxim [7]
3 years ago
12

The perimeter of the square

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0

Answer:

16√10

Step-by-step explanation:

The key word here is "square."  The four sides of this square are of equal length.  If you find the length of any one side, you automatically know the lengths of the remaining three sides.  Using the distance formula to find the distance between points T and V, we find that it is √160 = (√16)(√10), or 4√10.

Since the square has four (equal) sides, we multiply this result by 4 to get the perimeter:  P = 4(4√10) = 16√10

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3 0
3 years ago
The length of a photograph is 3cm less than twice the width. The area is 54cm^2. Find the dimensions of the photograph.
REY [17]
W= width
l= length= 2w-3

Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)

Set each set of parentheses equal
to 0 and solve for width.

0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE

0=w-6
6 cm=w

-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.

length= 2w-3
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CHECK:
w= 6cm
l= 9cm
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ANSWER: width= 6cm; length= 9cm

Hope this helps! :)
4 0
3 years ago
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