Question

A smaller square of side length feet is cut out of a square board. What is the approximate area (shaded region) of the remaining board in square feet?

Answer 1

Given: A smaller square is cut out from a square board. The smaller square has a side length of approximately 14 feet.

To find: The approximate area (shaded region) of the remaining board in square feet.

Solution: The approximate area (shaded region) of the remaining board is 204 square feet.

In order to find the area of the given shaded region, the area of the smaller square must be subtracted from the area of the entire square board. Now, since the side of the larger square is 20 feet, the area of it can be calculated as follows.

$area = 20 * 20$

        $= 400 units$

Similarly, the area of the smaller square can be calculated.

$area = 14 * 14$

        $= 196$

Hence, the area of the shaded region is calculated as shown below.

$400 - 196 = 204$

Therefore, the approximate area (shaded region) of the remaining board is 204 square feet.

Although part of your question is missing, you might be referring to this full question and the image attached:  

A smaller square is cut out from a square board. The smaller square has a side length of approximately 14 feet. What is the approximate area (shaded region) of the remaining board in square feet?