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,
