Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
