The width of the pathway is 3m
Step-by-step explanation:
Let the width of the pathway be 'w'
The area will be 130 square meters
The dimensions of the garden is 10 x 7
Area = (10+w) (7+w)
130 = 70 + 17w + w^2
w^2 + 17w - 60 = 0
w^2 +20w - 3w - 60 = 0
w ( w + 20) - 3 ( w + 20) = 0
(w + 20) (w - 3) = 0
w = -20 ( or) w = 3
w is the width and cannot be negative.
So, w = 3 meters
The width of the pathway is 3m
Step-by-step explanation:
CCTV cameras in a bit more of the day I will have a great time and where is the only thing that has to do with it
1) neither
2) geometric sequence
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
