Advertisements
Advertisements
Question
The base of a triangular field is three times its height. If the cost of cultivating the field at ₹ 36.72 per 100 m2 is ₹ 49,572; find its base and height.
Advertisements
Solution
Since the cost of cultivating the field at the rate of Rs. 36.72 per 100 square metre is Rs. 49,572.
Area of the triangular field = `(49572 xx 100)/36.72` = 1,35,000 sq. m
Let the height of the triangle be h.
Now,
Area of the triangular field = `1/2` × base × height
1,35,000 = `1/2 xx h xx 3h`
⇒ h2 = 90,000
⇒ h = 300
Height (h) = 300m
Base (3h) = 3 × 300 = 900 m.
APPEARS IN
RELATED QUESTIONS
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
The area of an equilateral triangle is 36`sqrt3` sq. cm. Find its perimeter.
Find the area of a triangle, whose sides are :
10 cm, 24 cm, and 26 cm
A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
The base of a triangle field and its height are in the ratio 2:5. If the cost of cultivating the field at Rs.42 per sq. m is Rs.7560, find its base and height.
Find the perimeter of An equilateral triangle with side 6 cm
Find the perimeter of the triangle, whose sides are 13 cm, 5 cm and 14 cm
A piece of string is 30 cm long. What will be the length of each side if the string is used to form an equilateral triangle?
