4. Find the area of the following figures.
Answers
Answer:
i) 99 square units
ii) 36 square units
ii) 24 square units
Step-by-step explanation:
i) The figure(i) shows a trapezium
Area of trapezium = h/2[a + b]
Here h = 9, a = 13 and b = 9
Therefore area = 9/2[13 + 9] = (9 x 22)/2 = 99 square units
ii)To find area of second figure
The figure (ii) shows a rectangle with sides 6 and 5 units and a right angled triangle with base 3 and height 4.
Total area = area of rectangle + area of triangle
To find area of rectangle
Area = length x breadth = 6 x 5 = 30 square units
To find the area of right angled triangle
Area of right angled triangle = 1/ 2x bh =(3 x 4)/2 = 6 square units
To find total area
Total area = area of rectangle + area of triangle = 30 + 6 = 36 square units
iii) To find the area of third figure
This figure also shows one rectangle with length 9 and breadth 1.5 and right angled triangle with base 6(9-3) and height 3.5(5 - 1.5).
To find area of rectangle
Area = length x breadth = 9 x 1.5 = 13.5 square units
To find the area of right angled triangle
Area of right angled triangle = 1/ 2x bh =(6 x 3.5)/2 = 10.5 square units
To find total area
Total area = area of rectangle + area of triangle = 13.5 + 10.5 = 24 squre units
Step-by-step explanation: