mirandaanthony35 mirandaanthony35
  • 15-01-2020
  • Mathematics
contestada

What is the length and width of a rectangle if Area is 20 and perimeter is 20

Respuesta :

Stefanisaska
Stefanisaska Stefanisaska
  • 15-01-2020

Answer: a=5+√5

b=5-√5

Step-by-step explanation:

a=?

b=?

P=20

A=20

P=a*b=20

A=a+b=20

------------------

ab=20

a+b=10

--------

a=10-b

(10-b)b=20

-b²+10b-20=0

b=-10±√100-80/-2

b=-10±√20/-2

b=-10±2√5/-2

b=-10-2√5/-2=5+√55

b=5-√5

a+b=10

a+5-√5=10

a=5+√5

a+5+√5=10

a=5-√5

Answer Link

Otras preguntas

How did the Aztec first react to Conquistador Hernandes Cortes?
What is P = 3qr solved for q? A) 3rP = q B) P/3r = q C) 3r/p = q D) P/3q = r
keith had 8 1/2 cups of flour. He used 5 2/3 cups to make bread. How many cups of flour does he have left
Which sentences in this excerpt from Leo Tolstoy’s The Death of Ivan Ilyich suggest that doctors, like lawyers, are part of the superficial middle-class world o
Witch is larger 7/8 or 8/9
what is the maximum volume of water a hamster bath could hold with a depth of 1 2/3 inches, a length of 2 1/3 inches, and width of 2 inches?
An object moves on a conveyor belt at a speed of 60 inches per second.Explain how you could convert the speed to feet per minute?
Jayne says 0.5 is less than 4/10 is she correct explainhow
Three corners of a rectangular garden in a park are located at (2, 3), (–1, 3), and (–1, –1) on a coordinate plane. What is the perimeter of the garden?
The first division of political parties came about because of what issue