A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a rea to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
2 answers:
Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
Answer:
2
Step-by-step explanation:
Original width = 6
New width = 6 + x + x = 6 + 2x
Orignal length = 12
New length = 12 + x + x = 12 + 2x
A = l * w
160 = (6 + 2x)(12 + 2x)
160 = 2(3+x) * 2(6+x)
160 = 4 * (3 + x)(6 + x)
160/4 = (3 + x)(6 + x)
40 = 18 + 6x + 3x + x^2
40 = 18 + 9x + x^2
x^2 + 9x - 22 = 0
= x^2 + 11x - 2x - 22 = 0
= x(x + 11) - 2(x + 11) = 0
= (x + 11) (x - 2) = 0
x = - 11, 2
Since we cannot have a negative width because it's a dimension,
x = 2 is right
You might be interested in
Right angles will be formed because in drawing the perpendicular lines they all form right angles to begin with. With several more draw it will still be the same as if you are drawing one the answer is -right angles
Answer:
once again try -4+1
hope it helps
X= -3
I hope that helps :)
Answer:
5siduodipfpfpdp n xoudoudoydosu9
There can only be one (5 person) team because you only have 7 people but in order to make a (5 person) team you will need 3 boys and 2 girls. You would need 10 people (6 boys and 4 girls) to make another team. Hope this helps!!!!