Victor cut four congruent triangles off the corners of a rectangle to make a hexagon, as shown below.
A rectangle that is 28 c-m long and 16 c-m wide has right triangles cut out from all four corners each with height and base length of 8 c-m.
What is the area of the shaded hexagon?
A.
B.
C.
D.
i think its 384
Answered is wrong there isnt a 192
C. 192 cm2
than what is the answer
That stupid bot gets on my nervs
To find the area of the shaded hexagon, we need to find the area of the rectangle and subtract the areas of the four triangles.
First, let's find the area of the rectangle. The formula to find the area of a rectangle is length multiplied by width. In this case, the length is 28 cm and the width is 16 cm. So the area of the rectangle is:
Area of rectangle = 28 cm * 16 cm = 448 cm²
Next, let's find the area of one triangle. The formula to find the area of a triangle is base multiplied by height divided by 2. In this case, the base and height of each triangle are both 8 cm. So the area of one triangle is:
Area of one triangle = (8 cm * 8 cm) / 2 = 32 cm²
Since there are four triangles, the total area of the triangles is:
Total area of triangles = 4 * 32 cm² = 128 cm²
Now, we can find the area of the shaded hexagon by subtracting the total area of the triangles from the area of the rectangle:
Area of shaded hexagon = Area of rectangle - Total area of triangles
= 448 cm² - 128 cm²
= 320 cm²
Therefore, the area of the shaded hexagon is 320 cm².
So, the answer is not provided in the question, and you will have to measure and calculate it as described above.