Find the perimeter and area of the given Figure. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Nishanth has a key-chain which is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown in the Figure. Find its area.(π = 3.14, √3 = 1.732)

Factoris 7c² + 2c - 5

Factorise: a³ – 8

Construct a quadrilateral MATH with MA = 4 cm, AT = 3.6 cm, TH = 4.5 cm, MH = 5 cm and ∠A = 85°. Also find its area.

Use graph colouring to determine the minimum number of colours that can be used. The adjacent states should not have the same colour.
Use the graph given below such that,
(i) each state is assigned a coloured vertex.
(ii) edges are used to connect the vertices of States.