Finding the Percentage of a Grid that is Shaded

In this lesson, we usually are given 10 × 10 grids having 100 squares. Some of these squares are shaded. We are asked to find the percentage of squares that are shaded.

Rule for finding the percentage of shaded squares

First the shaded squares are counted and the number of such squares is found.

This number of shaded squares is out 100 squares in the 10 × 10 grid.

Therefore, by definition of a percentage, this number itself is the percentage of shaded squares in the grid.

For example, if the number of shaded squares in a 10 × 10 grid is say 18, then the percentage of shaded squares in the grid is 18%.

Write the percentage of the shaded squares for given grid

Solution

Step 1:

Given is a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The number of shaded squares is 71. Therefore, the percentage of the shaded squares is 71%

Write the percentage of the shaded squares for given grid

Solution

Step 1:

Given is a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The number of shaded squares is 14. Therefore, the percentage of the shaded squares is 14%

Write the percentage of the shaded squares for given grid

Solution

Step 1:

Given is a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The number of shaded squares is 65. Therefore, the percentage of the shaded squares is 65%