Answer:
The equation representing the situation is;
36 = 3·y + 4·x
Step-by-step explanation:
The structures the gardener is planning to build = Equally-sized sections of flower bed
The length of wood the gardener has to surround both gardens = 36 feet
The perimeter of the entire garden, P = 2·y + 2 × 2·x
The length of the wood separating the two gardens = The length of the side 'y'
The perimeter of the garden and the length of the fence separating the two gardens = P + y = 2·y + 2 × 2·x + y = 3·y + 4·x
Therefore the length of wood available, 36 feet, will be used for a length equivalent to P + y
∴ 36 = P + y = 3·y + 4·x
∴ 36 = 3·y + 4·x
The equation representing the situation is 36 = 3·y + 4·x.
