The base of a triangular field is three times its altitude. If the cost of levelling the field at Rs 30.50 per sq. metre is Rs 7350, find its base and height.
Answers
Answered by
3
let altitude = x metre
then base = 3x metre
total cost 7350
so
1/2 × x ×3x × 30.50 = 7350
1/2 × x² ×3 ×305 = 73500
3x² = 73500/ 610
x² = 2450/61
x = 35√2/61 metre
so altitude = 35√2/61 metre
and base = 105√2/61 metre
then base = 3x metre
total cost 7350
so
1/2 × x ×3x × 30.50 = 7350
1/2 × x² ×3 ×305 = 73500
3x² = 73500/ 610
x² = 2450/61
x = 35√2/61 metre
so altitude = 35√2/61 metre
and base = 105√2/61 metre
Similar questions