Question

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find the perimeter of hexagon clover.
round your answer to the nearest whole number.
use the keypad to enter the answer in the box provided.
the perimeter of hexagon clover is units.

Explanation:

Step1: Determine the length of each side

• Assume each grid square has side - length \(1\).
• For side \(RE\): Count the number of grid - squares along \(RE\). If \(R\) and \(E\) are separated by \(4\) grid - squares horizontally (assuming the standard coordinate - grid interpretation), \(l_{RE}=4\).
• For the non - horizontal/vertical sides: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
• Let's assume for a non - horizontal/vertical side with \(\Delta x = 1\) and \(\Delta y = 2\), \(d=\sqrt{1^2 + 2^2}=\sqrt{1 + 4}=\sqrt{5}\approx2.24\). Assume there are \(4\) non - horizontal/vertical sides of the same length (by symmetry of the hexagon in the grid).

Step2: Calculate the perimeter

• The perimeter \(P\) of the hexagon is the sum of all its side lengths.
• \(P=4 + 4\times\sqrt{5}\) (assuming one horizontal side of length \(4\) and four non - horizontal/vertical sides of length \(\sqrt{5}\)).
• \(P = 4+4\times2.24=4 + 8.96=12.96\approx13\)

Answer:

\(13\)