valenciaemily62 valenciaemily62
  • 16-12-2020
  • Mathematics
contestada

The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 feet, find its base and height

Respuesta :

Аноним Аноним
  • 16-12-2020

Step-by-step explanation:

Let

base=x

height=x+5

we know that in a parrelogram

[tex]\boxed{\sf Area=base×height}[/tex]

  • Substitute the values

[tex]{:}\rightarrowtail\sf x(x+5)=204 [/tex]

[tex]{:}\rightarrowtail\sf x^2+5=204 [/tex]

[tex]{:}\rightarrowtail\sf x^2=204-5 [/tex]

[tex]{:}\rightarrowtail\sf x^2=199 [/tex]

[tex]{:}\rightarrowtail\sf x=\sqrt {199}[/tex]

[tex]{:}\rightarrowtail\sf x=14.1[/tex]

[tex]{:}\rightarrowtail\sf base=14.

1feet[/tex]

[tex]{:}\rightarrowtail\sf Height =14.1+5=19.1feet [/tex]

Answer Link

Otras preguntas

Simplify the following expression. x-1
What are the three polymers of glucose?
Fran has a plank of wood 4.65 meters long. She wants to cut it into pieces 0.85 meters long. How many pieces of wood that length can she cut from the plank? Can
whats the answer to a quadratic equation of x squared plus 3x plus 2? factor the problem
4x-9=-y 2x=3y-5 According to the system of equations above,what is the value of y?
how do you turn 8.5 into a fraction just a bonus question so don´t confuse yourself
Which word in the sentence is the indirect object? Why did Kevin give Tony a map of the city? A. city B. Tony C. map D. Kevin
Which part of a country is away from the borders or coast?
is 36 a factor. yes or no
Which word best describes the structure and sound of “Lines Written in Early Spring”? rigid unnatural simple fantastic