Answer: 51m²
Step-by-step explanation:
To solve this type of problem , you first of all consider the diagram asba complete block.The diagram is a complete block or rectangle upon which a triangle is superimposed. To find the area of the shaded region , just find the area of the whole block and removed the area of the triangle that was superimposed.
Now, let move to the real work
Area of the whole block
= length × breadth
= 7m × 9m
= 63m²
Step ii,
Area of the right angle triangle
= (1/2)bh
= 1/2 × b × h
Now to get the dimensiona of the triangle, we need to do some deductions. Since the widths of the triangle is 9m, therefore, the height of the triangle wil
= 9m - 3m
= 6m.
h = 6m.
Since the length of the triangle is 7m, therefore, the base of the triangle will be
= 7m - 3m
= 4m.
Step iii, to find the area of the triangle now , we applied the formula.
Area = 1/2 × 6 × 4
= 12m².
Now to find the area of the shaded region , we carry out subtraction
Area = 63m² - 12m²
= 51m².
