Pregunta
A rectangle has an area of
. The length is 2 ft longer than the width. Let
represent the width of the rectangle.
Which equation can be used to find the dimensions of this rectangle?
A.
B.
C.
D.
Which equation can be used to find the dimensions of this rectangle?
A.
B.
C.
D.
Ask by Blake Conner. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The equation to find the dimensions is
.
Solución
To determine the equation that describes the dimensions of the rectangle, let’s break down the given information:
-
Area of the Rectangle: The area
is given by the formula: Given thatand the length is 2 feet longer than the width, we can express the length as , where is the width. -
Setting Up the Equation:Expanding the left side:
-
Selecting the Correct Option: The equation
directly corresponds to option D.
Answer:
D.
D.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Mind Expander
To find the dimensions of this rectangle, you can start by expressing the length in terms of the width. Since the length is 2 ft longer than the width (
), we can write the length as
. The area of a rectangle is given by the formula: Area = Length × Width. Therefore, the equation can be set up as:
When simplified, this results in the quadratic equation:
Did you know that the concept of finding the dimensions of rectangles is rooted in ancient civilizations? The Egyptians and Babylonians were known to use geometric principles for land measurement thousands of years ago! This practice evolved into the sophisticated algebraic techniques we use today to solve such problems.
If you’re tackling this kind of problem, one common mistake is forgetting to set the area formula equal to the value given (16 in this case). Instead, people might mix up the relationships between width and length! Always keep your definitions clear, and remember to double-check the equation you form to avoid that confusion.
preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium