Respuesta :
Dimensions of rectangular garden is: length = 39 feet and width = 18 feet
Solution:
Given that length of the rectangle garden is three more than twice its width.
The perimeter of the garden is 114 feet
Need to determine width of the garden
Let assume width of the garden be represented by variable "x"
=>Twice of the width = [tex]2 \times x = 2x[/tex]
=> 3 more than Twice of the width= 3 + 2x = 2x + 3
As length of the rectangle garden is three more than twice its width ,
=> Length of the rectangle garden = 2x + 3
Perimeter of the rectangle = 2( length + width)
=> Perimeter of the rectangular garden = 2 (Length of the rectangle garden + width of the garden)
= 2 (2x + 3 + x) = 2 (3x + 3 ) = 6x + 6
=> Perimeter of the rectangular garden = 6x + 6
As it is also given that Perimeter of the rectangular garden = 114 feet
=> 6x + 6 = 114 feet
=> 6x = 114 – 6
x = 18
Width of the garden = x = 18 feet
Length of the garden = = 2x + 3 = 2(18) + 3 = 39 feet
Hence dimensions of rectangular garden is length = 39 feet and width = 18 feet
