Herons Formula ...

Find the area of a quadrilateral whose sides are $$12, 5, 6$$ and $$15$$. The angle between the first two sides is $$90$$. (Use Heron's formula)

The perimeter of a triangle is $$540$$ m and its sides are in the ratio $$12 : 25 : 17.$$ Find the area of the triangle.

The triangular side - wall of a flyover have been used for advertisements, The sides of the walls are 122 m, 22m and 120 m. The advertisements requires rent of Rs 5000 per $$\displaystyle m^{2}$$ per year. A company hired one of its walls for 3 months. How much rent did it pay ?

Using Heron's formula find the area of a quadrilateral whose sides are $$3\ cm, 4\ cm, 4\ cm$$, and $$5\ cm$$. The angle between the first two sides is $$90^0$$.

A traffic signal board, indicating 'SCHOOLAHEAD', is an equilateral triangle with side $$a$$. Find the area of the signal board, using Heron's formula. If its perimeter is $$180 cm$$, what will be the area of the signal board?

Find the area of a quadrilateral whose sides are $$3\ cm, 4\ cm, 2\ cm$$, and $$5\ cm$$. The angle between the first two sides is $$90^o$$. (Use Heron's formula)

Use Heron's formula to find the area of a triangle of lengths $$5, 7$$ and $$8$$.

Find the area of a field which is in shape of a parallelogram with sides 12 cm and 14 cm and one of the diagonal of length 18 cm.   

Two sides of a plot measure 32 m and 24 m and the angle between them is a perfect right angle The other two sides measure 25 m each and the other three angles are not right angles What is the area of the plot?

In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is?