Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^ 2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.
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Answers
Step-by-step explanation:
Given :-
Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^ 2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.
To Find :-
- Length of x
- Length of 2x
Formula Used :-
- Area of Trapezium = 1/2 (a + b) h
Solution :-
- Area of Trapezium = 1/2(a + b)h
➡10500 = 1/2(x + 2x) 100
➡10500 = 1/2 (3x) 100
➡10500/100 = 1/2 × 3x
➡105 × 2 = 3x
➡ 201 / 3 = x
- ➡ 70m = x OR x = 70m
Thus,
➡ 2x = 2 × 70
- ➡ 140m
Hence,
- Length of Road = 70m
- Length of River = 140m
Hope it helpful ✌️
@Somya2563
Answer:
Step-by-step explanation:
Given :-
Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^ 2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.
To Find :-
Length of x
Length of 2x
Formula Used :-
Area of Trapezium = 1/2 (a + b) h
Solution :-
Area of Trapezium = 1/2(a + b)h
➡10500 = 1/2(x + 2x) 100
➡10500 = 1/2 (3x) 100
➡10500/100 = 1/2 × 3x
➡105 × 2 = 3x
➡ 201 / 3 = x
➡ 70m = x OR x = 70m
Thus,
➡ 2x = 2 × 70
➡ 140m
Hence,
Length of Road = 70m
Length of River = 140m
Hope it helpful ✌️
@Somya2563