mahajan has a vegetable garden in the shape of a rhombus . the lenght of each side of the garden is 35 m and its diagnol is 42m long . after growing the vegetables in it , he wants to divide it in six equal parts , find the area of each part
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Answers
Answer:
196m^2
Step-by-step explanation:
side = 35m(AB=BC=CD=AD)
diagonal = 42m(AC)
Diagonals in a rhombus bisect each other and are perpendicular to each other.
Let ABCD be a rhombus and AC and BD be it's diagonals and O be it's point of intersection.
Take any triangle from 4 triangle say Triangle AOD.
angle AOD = 90°
AO = 42m/2 = 21m
AD = 35m
By Pythagoras Theorem,
(AD)^2 = (AO)^2 + (DO)^2
(35m)^2 = (21m)^2 + (DO)^2
1225m^2 = 441m^2 + (DO)^2
1225m^2 - 441m^2 = (DO)^2
784m^2 = (DO)^2
√784m^2 = DO
28m = DO
BD = 2 × 28m = 56m
Area of rhombus = 1/2 × AC × BD
= 1/2 × 42m × 56m
= 1176m^2
Area of each part/ Area of 6 equal parts = 1176m^2/6 = 196m^2
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Step-by-step explanation:
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