Respuesta :
The length of string used to decorate the ceiling = 40.5 meters.
According to the statement
we have given that the hotel staff is decorating the lobby by placing one row of string lights along the outer edge of the rectangular ceiling.
And the coordinates of rectangular ceiling is A(5,16), B(17,10), C(14,4), D(2,10).
And we have to find the total length for string is used to decorate the rectangular ceiling.
We know that the Total length of string = Area of the rectangular ceiling.
And area of rectangular ceiling = L*B
So, Length of rectangular ceiling = A+B
Length of rectangular ceiling = (17-5) + (16-10)
Length of rectangular ceiling = (12+6)/2
Length of rectangular ceiling = 9.
So,
Breadth of rectangular ceiling = B+C
Breadth of rectangular ceiling = (17-14)+(10-4)
Breadth of rectangular ceiling = (3+6) /2
Breadth of rectangular ceiling = 4.5
So, the length of string used = 4.5*9
the length of string used = 40.5 meters.
The length of string used to decorate the ceiling = 40.5 meters.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
The hotel staff is decorating the lobby by placing one row of string lights along the outer edge of the rectangular celling. A member of the s⊥aff maps the celling on a coordinate grid as shown, where each unit represents . What is the approximate length of string lights the staff needs to decorate the ceiling?
A 20.25 meter
B. 35 meter
C. 40.5 meter
D. 14 meter
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