Question

1. use the formula for the area of a rectangle to write an equation for the area of the three combined rectangles in terms of 25 and 11.

area = (25 + 11)(25 - 11) = 504 square units

1. now, think about the original grid with 25 x 25 squares with the excluded shaded section measuring 11 x 11. write an equation for the area of the grid by subtracting the area of the shaded section from the area of the original grid.

area = square units
(type an integer or a decimal.)

Explanation:

Step1: Calculate the area of the original grid

The original grid is a square with side - length \(25\). Using the formula for the area of a square \(A = s^2\) (where \(s\) is the side - length), we have \(A_{original}=25\times25\).

Step2: Calculate the area of the shaded section

The shaded section is a square with side - length \(11\). Using the formula for the area of a square \(A = s^2\), we have \(A_{shaded}=11\times11\).

Step3: Calculate the area of the non - shaded part

The area of the non - shaded part (the area of the grid after subtracting the shaded section) is given by \(A=(25\times25)-(11\times11)\).

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Answer:

\(504\)