find the area of hexagon a b c d e f figure 1 in which AC is equal to 8 cm CD is equal to 4 cm cm is equal to 3 cm and ac is equal to 10.2 CM d is equal to 5 cm is equal to 8.4 CM op is equal to 3.2 CM
Answers
The area of hexagon ABCDEF is 75.4 cm².
Step-by-step explanation:
Required Formulas:
- Area of triangle = ½ × (base) × (height)
- Area of rectangle = length * breadth
It is given that,
In a hexagon ABCDEF, we have
AC = 8 cm, CD = 4 cm, BM = 3 cm, NE = 10.2 cm, DO = 5 cm, AF = 8.4 cm and OP = 3.2 cm.
Referring to the given figure, we can calculate
PF = AN = AC - OD = 8 - 5 = 3 cm
OE = NE - CD = 10.2 - 4 = 6.2 cm
EP = NE - AF = 10.2 – 8.4 = 1.8 cm
Also we can see that,
Area (Hexagon ABCDEF) is given by,
= area ( ABC) + area (rectangle ANPF) + area (rectangle CDON) + area ( FPE) + area ( ODE) …… (i)
Now,
Area (Δ ABC) = ½ × (BM) × (AC) = ½ × (3) × (8) = 12 cm² ….. (ii)
Area (Δ FPE) = ½ × (EP) × (PF) = ½ × (1.8) × (3) = 2.7 cm² …….. (iii)
Area (Δ ODE) = ½ × (OE) × (OD) = ½ × (6.2) × (5) = 15.5 cm² …….. (iv)
Area (rect. ANPF) = AN × AF = 8.4 × 3 = 25.2 cm² …… (v)
Area (rect. CDON) = CD × OD = 4 × 5 = 20 cm²…… (vi)
Thus, substituting values from (ii), (iii), (iv), (v) & (vi) in (i), we get
The area of hexagon ABCDEF as ,
= 12 + 20 + 25.2 + 15.5 + 2.7
= 75.4 cm²
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Also View:
A regular hexagon is inscribed in a circle. If the area of the hexagon is 24root3 cm2 find the area of the circle ?
https://brainly.in/question/1027794
Find the area of a regular hexagon ( divided into 6 equilateral triangles) with side 8 cm.
https://brainly.in/question/259278
Answer:
Ans is 73.2cm^2
Step-by-step explanation:
Ans of the questions is 73.2cm^2
area of pentagon =area of tri abc+tri fpe+tri ope+sq ONCD+sq ANPF
