Question

a 25×25 square grid is used to make one large rectangle joined together as shown. all of the grid is used except for the shaded section of 11×11. answer questions 1 - 6.

1. write expressions for the length and width of the large rectangle in terms of 25 and 11

length = 25 + □ units
width = 25 - □ units
(type whole numbers.)

Explanation:

Step1: Analyze the rectangle's dimensions

The large rectangle is formed by a \(25\times25\) square grid with a \(11\times11\) shaded section removed.
For the length: If we consider the original side - like structure (assuming the addition part), since the original is related to 25 and we have a non - shaded part, the length is \(25 + 11\) units.
For the width: If we consider the subtraction (removing the shaded part from the original side - like structure), the width is \(25-11\) units.

Answer:

Length \(=25 + 11\) units, Width \(=25-11\) units