Answer:
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Step-by-step explanation:
The perimeter of the regular polygon is 70 inches
<h3>How to determine the perimeter of the regular polygon?</h3>
The sides of the regular polygon is given as:
Side = 10 in
The regular polygon has 7 sides
So, the perimeter of the polygon is calculated as:
P = Side lengths * Number of sides
This gives
P = 10 inches * 7
Evaluate
P = 70 inches
Hence, the perimeter of the regular polygon is 70 inches
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Step-by-step explanation:
Ratio of length to width = 7 : 4
length = 7x
width = 4x
7x + 4x = 11x
length = 880
width = 4x
= 4(125.71)
= 502.85
Answer: The length is 13 inches and the width is 11 inches.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the rectangle is 143 square inches. This means that
LW = 143 - - - - - - - - - - - - --1
The rectangle's length is 2 in more than its width. This means that
L = W + 2
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 143
W² + 2W - 143 = 0
W² + 13W - 11W - 143 = 0
W(W + 13) - 11(W + 13) = 0
W + 13 = 0 or W - 11 = 0
W = - 13 or W = 11
Since the width cannot be negative, it means that W = 11
L = W + 2 = 11 + 2
L = 13
