perimeter of the rombus is 100m and its diagonal is 40m Find the area of rombus
Answers
Answer:
636 m ^2
Step-by-step explanation:
Perimeter (P) = 100m
Diagonal1 (D1) = 40m
Since, perimeter = 100m
Hence, one side = 100m/4 = 25m
One side = 25m
diagonal = 40m => 1/2 of diagonal = 20m
By Pythagoras theorem,
The other diagonal = √(25)^2 - (20)^2
= √255 = approx. 15.9
The area is
1/2 * D1 * D2
1/2*40*31.8
636 m ^2
Therefore, the answer is 636 m ^2.
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Step-by-step explanation:
Perimeter of rhombus= 4 × a
100= 4 × a
a = 100/4
a = 25
Area of rhombus=
1/2×d1×d2
1/2×40×25
1/2×1000
500