Perimeter of rectangular figure is given by:
Perimeter = 2( l+ w)...............(1)
where l and w are length and width of rectangle.
We are given perimeter = 454 yards......................(2)
We are also given length is 5 yards less than triple the width.
So we have length = 3w-5....................(3)
Plugging the values of P and l from (2) and (3) in (1)
[tex] 454 = 2( w + 3w-5) [/tex]
[tex] 454 = 2( 4w-5) [/tex]
dividing both sides by 2 ,
[tex] 227= 4w-5 [/tex]
adding 5 on the left side,
[tex] 232= 4w [/tex]
dividing both sides by 4
w=58
Plugging this value in equation (3) to get length,
[tex] l=3w-5 = 3(58) -5= 169 [/tex]
Answer:
Length is 169 yards and width is 58 yards.
