If a = 4 in and b = 3 in , what is the area of the sketch ?

(b) = 60

Step-by-step 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

c. (3,2,6) is the answer.