Q17 of 33 Page 12

Find the cost of leveling the ground in the form of a triangle having its side as 70 cm, 50 cm, and 60 cm, at Rs. 7 per square metre.

Given: Sides of a triangle are 70 cm, 50 cm, and 60 cm

Cost of leveling the ground: Rs. 7 per square metre


To Find: The cost of leveling the ground.


Concept Used:


If sides of a triangle are a, b, and c, then area of a triangle is given by:



Where s = semiperimeter of the triangle



Assumption: Let the sides of triangle be,


a = 70 cm


b = 50 cm


c = 60 cm


Explanation:




s = 90 cm





Area = 600√6 cm2.


1m2 = 104 cm2


600√6 cm2


Cost of leveling of 1 m2 = Rs. 7


Cost of leveling of


Hence, the cost of leveling of the ground is Re. 1.


More from this chapter

All 33 →
15

Find the area of the rhombus whose perimeter is 80 m and one of whose diagonal is 24 m.

 16

Find the area of an isosceles triangle, the measure of one of its equal sides being 'b' and the third side a.

 18

If a, b, and c are the sides of a triangle such that a + b = c. Prove that the area of a triangle equals to zero. Find the value for which area is not equal to zero.

 19

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm, and 35 cm. Find the cost of polishing the tiles at the rate of 50p per cm2.