destinyculbert7584 destinyculbert7584
  • 19-08-2017
  • Mathematics
contestada

The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 77 ft2 . find the dimensions of the rectangle.

Respuesta :

ghanami
ghanami ghanami
  • 19-08-2017
hello : 
let : y  the   length  and : x  the width
y = 2x +3.....(1)
xy = 77 .....(2)
by (1) subsct : y    i n (2) 
x(2x+3) = 77
2x²+3x -77 = 0
the descrimnent : b²-4ac    ... a =2   b= 3    c = -77
3²-4(2)(-77) = 625 = 25²
x1 = (-3-25)/4   negatif refused
x2 = (-3+25)/4 =22/4 = 11/2
x= 5.5
 y = 2(5.5) +3 =14
Answer Link

Otras preguntas

please help Look at each pair of statements. Each statement in the pair is labeled as a cause or as an effect. Mark the pair of statements if they are correctly
The range of vegetables, fruits, meats, nuts, grains, herbs and spices used in cooking are known as what?
What is the answer to 3/8 + 4/5 ?
corey wrote the number 47378.how many times greater is the 7 in the thousands place than the 7 in the tens place
Something crusaders brought back to Europe that helped to preserve food
True or False, Algeria is located in Africa.
corey wrote the number 47378.how many times greater is the 7 in the thousands place than the 7 in the tens place
True or false? Earth Day is held on June
How does logic help to form a good argument? It tests the emotional impact of an argument. It determines whether or not an argument is true. It indicates whethe
A refrigerator is shaped like a rectangular prism. The length is 27 inches, the width is 24 inches, and the height is 38 inches. What is the surface area of the