QUESTION.1
The area of the shaded region equals area of the bigger rectangle minus area of the smaller rectangle.
By equation, area of a rectangle 
This implies that the area of the bigger rectangle 

Also,the area of the smaller rectangle

Hence,area of the shaded region
QUESTION.2
The polygon is a trapezium.
The area of a trapezium is given as;

where a and b denote the the two parallel sides and h denotes the height
From the question 
By substitution,the area of the trapezium

QUESTION 3
The polygon is a trapezium.
The area of a trapezium is given as;

where a and b denote the the two parallel sides and h denotes the height
From the question 
By substitution,the area of the trapezium

QUESTION 4
The polygon is a parallelogram.
The area of a parallelogram is given as;

where b denotes of the length of any base and h denotes the height
From the question b=14 and h=9
By substitution,the area of the parallelogram

QUESTION 5
The polygon is a rhombus.
The area of a rhombus is given as;

where s is the length any side
From the question the value of s is 9
By substitution,the area of the rhombus

QUESTION 6
The polygon is a kite.
The area of a kite is given as;

where a and b denote the length of the two diagonals
From the question 

By substitution,the area of the kite

QUESTION.7
The polygon is a triangle.
The area of a triangle is given as;

where b is length of the base and h denotes the length of the h of the height.
From the question 

By substitution,the area of the triangle

QUESTION.8
The area of a triangle is given as;

where b is length of the base and h denotes the length of the height.
From the question 
and the area, 
By substitution,


Dividing both sides by 6

QUESTION. 9
The area of a kite is given as;

where a and b denote the length of the two diagonals
From the question 
and area,
By substitution,

this implies that
Multiplying both sides by
,
We obtain,