Inicio
/
Matemáticas
/
The Length of a Rectangle Is 9 Feet Longer Than It Is Wide. If Each Side Is Increased 9 Feet, Then the Area Is Multiplied by 4 . What

Problemas

The length of a rectangle is 9 feet longer than it is wide. If each side is increased 9 feet, then the area is multiplied by 4 . What was the size of the original rectangle? The width or short side is square feet The length or long side is square feet

Roztwór

Elsa professionell · Tutor durante 6 años
Weryfikacja ekspertów
4.6 (231 Votos)

Respuesta

Let's denote the width of the original rectangle as feet. Since the length is 9 feet longer than the width, the length can be expressed as feet.The area of the original rectangle is given by: When each feet, the new width becomes feet and the new length becomes \( (w + 9) + 9 = w + 18 \) feet.The area of the new rectangle is: According to the problem, the new area is 4 times the original area: We can simplify this equation: Since is a common factor, we can divide both sides of the equation by ): Solving for : So, the width of the original rectangle is 6 feet. The length, being 9 feet longer than the width, is: Therefore, the size of the original rectangle is:- The width or short side is feet.- The length or long side is feet.