Respuesta :
Answer:
The length is 28 meters
The width is 8 meters
Step-by-step explanation:
Let x = the length of Sally's garden
Let Y= the width of Sally's garden.
The length of Sally's garden is 4 meters greater than 3 times the width. This means that the length is 3× the width + 4 meters. The equation is
x = 3y + 4
The perimeter of her garden is 72 meters. Since the length and the width are not equal, the garden is a rectangle.
Perimeter of rectangle = 2(length + width). Therefore,
2x + 2y = 72 - - - - - - - - - - -1
Substituting x = 3y + 4 into equation 1, it becomes .
2(3y + 4) + 2y = 72
6y + 8 + 2y = 72
6y + 2y = 72 - 8
8y = 64
y = 64/8 = 8
x = 3y + 4
x = 3×8 + 4 = 24 +4
x = 28
Answer:
Width of the garden is 8m
Step-by-step explanation:
Let width of garden = W while length of garden = L
From the question, we deduce the following:
Length L= 4+3W
Perimeter P = 72, (Recall that P = 2 (L+W))
72 = 2 (L+W)
72 = 2 ((4+3W)+W) ...... dividing both sides by 2,
36 = 4+3W+W
36 = 4+4W
36 - 4 = 4W
32 = 4W..... dividing both sides by 4,
W = 8m
