Identify the Shape with Exactly 2/5 Shaded Area

Question

Choose the shape in which the painted part is 25 \frac{2}{5}

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: For each shape, count the total number of equal segments.
  • Step 2: Count the number of segments that are painted.
  • Step 3: Calculate the fraction of the painted area by dividing the number of painted segments by the total number of segments.
  • Step 4: Identify the shape where the fraction of painted area is 25 \frac{2}{5} .

Now, let's work through each step:

Step 1: Let's examine the shapes given in the choices.

Step 2: For choice 3, the shape has 5 equal segments. Two of these segments are painted.

Step 3: Calculate the fraction for choice 3:

Number of painted partsTotal number of parts=25 \frac{\text{Number of painted parts}}{\text{Total number of parts}} = \frac{2}{5}

Step 4: Therefore, choice 3 is the correct shape with 25 \frac{2}{5} of the area painted.

Therefore, the solution to the problem is the shape from choice 3, where 25 \frac{2}{5} of the area is painted.

Answer