Question

A smaller square of side length 17 feet is cut out of a square board. What is the approximate area (shaded region) of the remaining board in square feet?

Answer 1

Answer:

The area of the remaining board is (x² - 289) sq. ft.

Step-by-step explanation:

Let the sides of the bigger square board be, x feet.

It is provided that a smaller square of side length 17 feet is cut out of the bigger square board.

The area of a square is:

$Area=(side)^{2}$

Compute the area of the bigger square board as follows:

$A_{b}=(side_{b})^{2}=x^{2}$

Compute the area of the smaller square board as follows:

$A_{s}=(side_{s})^{2}=(17)^{2}=289$

Compute the area of the remaining board in square feet as follows:

$\text{Remaining Area}=A_{b}-A_{s}$

                          $=[x^{2}-289]\ \text{square ft.}$

Thus, the area of the remaining board is (x² - 289) sq. ft.