Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
<span>Let us use the variable x for length. So width will be 1/2x + 3.
Perimeter = x+x+ 1/2x + 3 +1/2x + 3 = 3x + 6 = 66
Therefore 3x = 66-6 = 60
So x = 60/3 = 20
The length is 20 cm.
Therefore the width = 1/2 of 20 + 3 = 10 + 3 = 13 cm
Check: 20+20+13+13 = 66</span>
Answer:
answer for this question is 6