The following flow chart shows the five steps in calculating for the desired area. Drag the five drawings to the correct grey area and the six calculations to the correct white area of the flow chart to complete the activity. Step 1: Label the given image accordingly.Step 2: Calculate the area of the hexagon denoted as A1.First, find its apothem using special right triangle (30°-60°-90°) and the Pythagorean theorem.Next, use the area formula for regular polygons to calculate the area of the hexagon.Alternative Way. Use hexagon area formula that uses side length s.Step 3: Calculate the area of the square denoted as A2.Step 4: Calculate the area of the triangle denoted as A3.Notice that the hexagon's apothem is also the triangle's height.Step 5: Finally, calculate the area of the shaded region denoted as A using addition and subtraction. IMA GE BANKhexagonA,square8 in/30-h = 6.9 intriangle60b =8 inA = hexagon's area – square's area + triangle's= Aq – A2 + Az z 166.3 – 64 + 27.7 = 130 in²8 in8 in8 in%3DA2 = s² = 8² = 64 in² =%3D%3D%3D3/33V3s2 =213V3V3V3(8³):(64) = 96v3 = 166.3 in² a =s(8) = 4/3 × 6.9 in2%3D%3D21A3 =- bh =(8 - 4/3) = 16v3 × 27.7 in? A =-aP=;(4v3)(6·8) = 96v3 = 166.3 in²%3D%3D%3D%3D2.2

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Answered: Step 1: Label the given image…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following flow chart shows the five steps in calculating for the desired area. Drag the five drawings to the correct grey area and the six calculations to the correct white area of the flow chart to complete the activity.

Step 1: Label the given image accordingly.
Step 2: Calculate the area of the hexagon denoted as A1.
First, find its apothem using special right triangle (30°-60°-90°) and the Pythagorean theorem.
Next, use the area formula for regular polygons to calculate the area of the hexagon.
Alternative Way. Use hexagon area formula that uses side length s.
Step 3: Calculate the area of the square denoted as A2.
Step 4: Calculate the area of the triangle denoted as A3.
Notice that the hexagon's apothem is also the triangle's height.
Step 5: Finally, calculate the area of the shaded region denoted as A using addition and subtraction.

IMA GE BANK
hexagon
A,
square
8 in/30-
h = 6.9 in
triangle
60
b =8 in
A = hexagon's area – square's area + triangle's
= Aq – A2 + Az z 166.3 – 64 + 27.7 = 130 in²
8 in
8 in
8 in
%3D
A2 = s² = 8² = 64 in² =
%3D
%3D
%3D
3/3
3V3
s2 =
2
1
3V3
V3
V3
(8³):
(64) = 96v3 = 166.3 in² a =s
(8) = 4/3 × 6.9 in
2
%3D
%3D
2
1
A3 =- bh =(8 - 4/3) = 16v3 × 27.7 in? A =-aP
=;(4v3)(6·8) = 96v3 = 166.3 in²
%3D
%3D
%3D
%3D
2.
2

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