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 10,500 m^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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perpendicular distance (h) = 100m
area = 10,500 m^2
let the length of side along road = b
the length of side along river = 2b
area = 1/2× h ×(sum of parallel sides)
10500 = 1/2 × 100 × (b+2b)
10500 = 50 × 3b
10500 = 150b
b = 10500/150 = 70m
length of side along river, 2b = 2×70 = 140m
area = 10,500 m^2
let the length of side along road = b
the length of side along river = 2b
area = 1/2× h ×(sum of parallel sides)
10500 = 1/2 × 100 × (b+2b)
10500 = 50 × 3b
10500 = 150b
b = 10500/150 = 70m
length of side along river, 2b = 2×70 = 140m
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Answer:
Step-by-step explanation:
Perpendicular distance (h) = 100m
area = 10,500 m^2
let the length of side along road = b
the length of side along river = 2b
area = 1/2× h ×(sum of parallel sides)
10500 = 1/2 × 100 × (b+2b)
10500 = 50 × 3b
10500 = 150b
b = 10500/150 = 70m
length of side along river, 2b = 2×70 = 140m
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