Advertisements
Advertisements
Question
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.
Advertisements
Solution
Let the Area of the triangular plot of land = A m2
∴ A x 42 = 7560
⇒ A = `(7560)/(42)`
= 180
Let the base and height of the plot be 2x and 5x respectively
We know that, Area of a triangle
= `(1)/(2)"b.h" "i.e"(1)/(2)("Base" xx "Height")`
⇒ 180 = `(1)/(2)(2x).(5x)`
⇒ 5x2 = 180
⇒ x2 = `(180)/(5)`
= 36
⇒ x = 6
⇒ Base = 2(6) = 12m; Height = 5(6) = 30m.
APPEARS IN
RELATED QUESTIONS
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.
The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.
Find the area of a triangle, whose sides are :
21 m, 28 m, and 35 m
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
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.
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
Find the perimeter of An equilateral triangle with side 6 cm
A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle
The perimeter of a triangle is 28 cm. One of it’s sides is 8 cm. Write all the sides of the possible isosceles triangles with these measurements.
In the following figures, perimeter of ΔABC = perimeter of ΔPQR. Find the area of ΔABC.
