Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
There are 203 apples in a basket.
The prime factors of 203 is 1, 7, 29 and 203
7 and 29 divide 203 completely
7 children can get 29 apples equally or 29 children can get 7 apples equally.
(a) 7 or 29 or 203 children share the apples equally.
(b) 29 or 7 or 1 apple they will get
The possible numbers are 7 , 29 and 203