The length of a rectangular garden is 7 feet more than three times it width. The perimeter of the garden is 78 feet. Find the length and width of the garden

The length of rectangular garden is 31 feet and width of rectangular garden is 8 feet

Solution:

Given that perimeter of the garden is 78 feet

Also given that length of a rectangular garden is 7 feet more than three times it width

Let the length of rectangle be "L"

Let the width of rectangle be "W"

According to gven information,

length of a rectangular garden = 7 + 3 (width of rectangle)

L = 7 + 3W

The perimeter of rectangle is given as:

perimeter of rectangle = 2 (length + width)

78 feet = 2 (7 + 3W + W)

78 = 2 (7 + 4W)

78 = 14 + 8W

78 - 14 = 8W

64 = 8W

W = 8

Thus width of rectangular garden = 8 feet

length of a rectangular garden = L = 7 + 3W

L = 7 + 3 (8) = 7 + 24 = 31

Thus length of rectangular garden = 31 feet