Answer:
30
Step-by-step explanation:
Step 1: Find the area of the whole figure
The whole figure is a rectangle with a width of 4cm and a length of 12cm
The area of a rectangle can simply be calculated by multiplying the width by the length
So area = 4 * 12 which = 48
So the area of the whole figure is 48cm²
Step 2: Find the area of the non shaded area
The non shaded area forms a triangle with a base length of 9cm and a height of 4cm
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
That being said we plug in the values into the formula
[tex]A=\frac{9*4}{2} \\9*4=36\\\frac{36}{2} =18[/tex]
Hence the area of the non shaded region is 18cm²
Final step: Our last step is to subtract the area of the non shaded region by the area of the whole figure
so the answer = 48 - 18 which equals 30
Hence the area of the shaded region is 30 square centimeters.
