Question

Samina bought a triangular
field whose dimensions are 41
m, 40 m and 9 m. i) What is the
area of the field? ii) Find the
number of rose beds that can
be prepared in the field, if
each rose bed, on an average
needs 900 cm^2 space.​

Answer 1

Given,

The dimensions of the triangular field = 41m , 40m , 9m

To find,

The area of the field and the number of rose beds.

Solution,

We can easily solve this mathematical problem by using the Heron's formula.

Semiperimeter = (41+40+9) = 90/2 = 45m

Area = ✓45 × (45-41) × (45-40) × (45-9)

= ✓45×4×5×36

= ✓32400

= 180 m²

Or, = 1800000 cm²

Number of rose beds = 1800000/900 = 200

Hence, the area of the field is 180m² and 200 rose beds is possible to plant in that field.