Answer:
102cm²
Step-by-step explanation:
Step 1 find the area of the whole rectangle
Area of a rectangle = width times length
The width of the rectangle is 20 cm and the length is 6cm
So the area = 20 * 6
20 * 6 = 120
Hence the area of the rectangle is 120 square centimeters.
Step 2 Find the area of the square and the triangle
Area of square = s²
where s = side length
The square has a side length of 3 so the area of the square = 3²
3² = 9
Hence, the area of the square is 9cm²
Now to find the area of the triangle
area of a triangle = where b = base length and h = height
We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)
Now to find the base length
We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )
so triangle's base length = 20 - 11 - 3
20 - 11 - 3 = 6
so the base length of the triangle is 6 cm
now we plug in the values of the height and the base length into the formula
Hence the area of the triangle is 9 cm²
Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle
so your answer = 120 - 9 - 9
120 - 9 - 9 = 102
Hence, the area of the shaded region is 102 square centimeters.
