Q11 of 33 Page 12

There is a slide in a park. One of its side walls has been painted in some color with a message “KEEP THE PARK GREEN AND CLEAN.” If the sides of the wall are 15 m, 11 m, and 6 m, find the area painted in color.

Given: Sides of the walls are 15 m, 11 m, and 6 m.

To Find: Area painted in color.


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 the triangle be,


a = 15 m


b = 11 m


c = 6 m


Explanation:




s = 16 m





Area = 20√2 m2.


Hence, the area of wall painted in color is 20√2 m2.


More from this chapter

All 33 →
9

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm, and AC = 5 cm.

 10

A park, in the shape of a quadrilateral ABCD, has ∠C = 90˚, AB = 9m, BC = 12 m, CD = 5m and AD = 8m. How much area does it occupy?

 12

The length of the sides of a triangle is 5 cm, 12 cm, and 13 cm. Find the length of the perpendicular from the opposite vertex to the side whose length is 13 cm.

 13

The perimeter of an isosceles triangle is 42 cm, and its base is (3/2) times each of the equal sides. Find the length of each side of the triangle, the area of the triangle.