Answer:
(b) = 60
Explanation:
The sketched hat took a shape of a Rectangle and a Trapezium.
Area of the Rectangle is :Length * Bredth. (L * B)
Area = (4b * b)
Given b = 3 in
Area of the Rectangle becomes:
Area = 4(3) * (3)
Area= 12 * 3
Area of Rectangle = 36 in
SOLVING FOR THE TRAPEZIUM:
Area of a Trapezium is expressed as:
Area= 0.5 (a + b)h
Where a and b are the opposite length of the Trapezium.
Now, the value of a from the question is 4.
Let's substitute this value into the formula:
Area= 0.5 (a + b)h
Area of Trapezium = 0.5 ( a +2a) a
Area= 0.5(4 + 2*4)4
Area= 0.5 (12)4
Invoking BODMAS
Area = 6*4
Area = 24 in
Finally, the area of the shpe is tye sum of area for the RECTANGLE and the TRAPEZIUM
AREA OF SKETCH = 36 in + 24 in
AREA OF SKETCH = 60 in