Answer :
x(x+8)=84
x²+8x=84
-84. -84
x²+8x-84=0
(x+14)(x-6)=0
x+14=0 x-6=0
x=-14 x=6
^reject the -14 because you can't have a negative measurement
The width is 6 feet and the length is 14 feet (6+8=14)
x²+8x=84
-84. -84
x²+8x-84=0
(x+14)(x-6)=0
x+14=0 x-6=0
x=-14 x=6
^reject the -14 because you can't have a negative measurement
The width is 6 feet and the length is 14 feet (6+8=14)
Answer:
breath = 6ft
length = 14ft
Step-by-step explanation:
Area of a rectangle = length x breath
Area = 84ft²
Since length is 8feet more than breath.
Let assume a breath is y.
i.e
breath = y
length = y + 8
Area = 84
84 = y * (y+8)
84 = y² + 8y
y² + 8y - 84 = 0
quadratic equation
y ( y - 6 ) + 14 ( y - 6 )
(y + 14 )( y - 6 )
So to find y
y + 14 = 0
y = -14
Or
y - 6 = 0
y = 6
We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)
Therefore
breath = y
breath = 6ft
length = y + 8
length = 6 + 8 = 14ft