This Question: 1 pt 3 of 10 (1 complete) TIS QUI. TU PIS POS Lab Mat Courses A rectangular field is five times as long as it
Question:
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TIS QUI. TU PIS POS
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A rectangular field is five times as long as it is wide. If the perimeter of the field is 420 yards, what are the field's dimensions?
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Answers
The dimensions of fields are length = 264 yards and width = 66 yards
Solution:
Given that rectangular field is five times as long as it is wide and perimeter of field is 660 yards
Let "L" be the length of rectangular field
Let "W" be the width of rectangular field
From given information,
Length = 4 times the width
[tex]L = 4 \times W[/tex]
L = 4W
The perimeter of rectangle is given as:
perimeter of rectangle = 2(length + width)
Substituting the given values in above formula,
660 = 2(4W + W)
330 = 5W
W = 66Then length is given as: L = 4W
L = 4(66) = 264
L = 264Thus the dimensions of fields are length = 264 yards and width = 66 yards
Width = 20 yards , length = 100 yards.
Step-by-step explanation:
Let the field be x yards wide then it's length is 5x yards.
so x + x + 5x + 5x = 240
12x = 240
x = 20.
width = 20 , length = 100 yards.
Width = 20yards
Length = 100 yards
Step-by-step explanation:
The field is 5 times as long as it's widths...
Let's represent the width be with "w"
The length will then become *5 * w*
The perimeter of the Rectangular field then becomes:
Perimeter (P) = 2 ( w + l)
P = 2 ( w + 5w)
But P = 240
240 = 2w + 10w
240 = 12w
Divide through by 12
w = 240/12
w = 20 yards
That is ,the width = 20yards
The length is 5 times the width
Length = 5*w
Length = 5*20
Length = 100 yards
Width = 20yards
Length = 100 yards