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

Thiyagu has fixed a door for the entrance of his house which is in the shape of a semicircle over a rectangle. The total height and width of the door is 9 feet and 3.5 feet respectively. Find the area of the door. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Find the area of the door mat whose measures are as given in the Figure
(π = 3.14)

Seenu wants to buy a floor mat for his kitchen at home as given in the figure. If the cost of the mat is Rs. 20 per square foot, what will be the cost of the entire mat?

Find the area of the irregular polygon field whose measures are as given in the figure.

Divide : (5y³ − 25y² + 8y) by 5y

Divide (10m² − 5m)by (2m−1)

Factorise: 4x²y + 8xy

Factorise x² + yz + xy + xz

Factorise 49x² - 8xxy + 36y²

Factoris x² + 8x + 15

Factorise: x³ +125

Factorise: a³ – 8

Construct a quadrilateral DEAR with DE = 6 cm, EA = 5 cm, AR = 5.5cm, RD = 5.2 cm and DA = 10 cm. Also find its area.

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.