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

functions need help fast
I need help please.
What is the orbital period of a spacecraft in a low orbit near the surface of mars? The radius of mars is 3.4×106m.
-4w(w+2) can someone help me find the answer to this please ;c
If a girl cuts the grass in 3 hours and a boy cuts it in 2 hours what would be the time if they cut it toghther.? A).50 minutes B).1 hour and 5 minutes C).1 ho
Multiply and simplify the product. –12i × 3i Select the product. 36 -36 36i -36i
If A=30°, a=12, b=28 how many triangles can be constructed?
What is the value of y? 114/ ОА. 33 ОВ. 66° Ос. 57° D. 1140
Of four agents Alpha, Beta, Gamma andDelta, three have to be sent together on amission. If Alpha and Beta cannot gotogether, Beta and Gamma cannot go togetheran
are 0,2,5 closed or not under addition