Find the area of the blue shaded and the grey shaded part of the given Figure. (π = 3.14)

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)

A 3- fold invitation card is given with measures as in the Figure. Find its area.

Find the area of the shaded region in the square of side 10 cm as given in the figure. \(\left(\pi=\frac{22}{7}\right)\)

Velu pastes ‘ 4xy ’ pictures in one page of his scrap book. How many pages will he need to paste 100x²y³pictures? (x, y are positive integers).

Sethu travelled (4x²+3xy²+5x)km in ‘2x’ hrs. Find his speed of travel.

Factorise :2m³-5m²+9m

Factorise:(2x + 5)(x-y) + (4y)(x - y)

Factorise : x² + 8x + 16

Factorise : 49x² - 64y²

Factoris 7c² + 2c - 5

Factorize: 8p³+ q³

Factorise: 81x³-3y³

There are 3 blue tiles  3 green tiles   and 3 red tiles  Put them together to form a square so that no two tiles of the same colour are adjacent to each other.

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.