. Rohan bought a rhombus shaped field , whose diagonals are 2400 m and 1000 m. Rohan wants to fence it but don't know the length of its boundary. (a) Which of the following is the length of side of field ?
1 point
1200 m
1300 m
1400 m
1600 m
(b) What will be the cost of fencing the length of boundary of the field,if cost of fencing is 70 rupees per meter ?
1 point
364000
336000
150000
none of the above
(c) What is the area of land Rohan bought ?
1 point
6,00,000 square m
9,00,000 square m
12,00,000 square m
4,00,000 square m
Answers
Answered by
3
Answer:
1) 1600
2)364000
3)400000sq m
Step-by-step explanation:
Answered by
3
Answer:
a) let ABCD be the sides and point O at which the diagonals meet
AO = 500 m
OC = 500 m
(Diagonals bisect each other)
BO = 1200 m
OD = 1200 m
(Diagonals bisect each other)
Each forms a right triangle inside so we can use Pythogorean theorm
a² + b² = c²
500² + 1200² = c²
=>2500 + 14400 = c²
=>16900 = c²
=> c = √16900
=> c = 130
b) perimeter = 4s
1 side = 130 m
Per meter = 70 rs
Perimeter = 130 x 4
= 520 m
Cost = 520 x 70
= 36400 rs
c) Area of rhombus = pq
/2
p = 2400 q = 1000
2400x1000/2 = 2400000/2
= 1200000 m²
Hope its helpful :D
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