The length of a rectangle is 6 cm more than its width. The area of the rectangle is 256 cm,superscript,2,baseline,. Let x represent the width of the rectangle in centimeters. Which equation represents the situation? Answer Options with 4 options A. 6x,superscript,2,baseline, − 256 = 0 B. 6x,superscript,2,baseline, + 256 = 0 C. x ,superscript,2,baseline, − 6x + 256 = 0 D. x ,superscript,2,baseline, + 6x − 256 = 0
Accepted Solution
A:
Answer:The equation which represents the situation is: [tex]x^2+6x-256=0[/tex]Step-by-step explanation: Let x represent the width of the rectangle in centimeters.The length of a rectangle is 6 cm more than its width. This means that the length of the rectangle is: x+6 cm.Also, we know that the area of a rectangle is the product of the length and width of the rectangle.Here, the area of the rectangle is 256 cm².i.e.[tex]x(x+6)=256\\\\x^2+6x=256\\\\i.e.\\\\x^2+6x-256=0[/tex]