Question

A farmer wishes to start a 100 sq. m rectangular vegetables garden Since ,he has only 30m barbed wire ,he fences three sides of the rectangular garden letting his house compound wall act as the fourth side fence. Find the dimensions of his Garden.

Answer 1

ANSWER IS

(10,10) (20,5)

HOPE IT HELP U

MARK IT BRAINLEIST.

Answer 2

Let the length of rectangular garden is l and breadth is b.

A/c to question, Garden is fenced on three sides.

∴ l + 2b = 30

l = 30 - 2b ------(1)

Given, area of rectangular garden = 100 m²

l × b = 100

(30 - 2b)b = 100

30b - 2b² = 100

2b² - 30b + 100 = 0

b² - 15b + 50 = 0

b² - 10b - 5b + 50 = 0

(b - 10)(b - 5) = 0

b = 5 and 10

So, l = 30 - 2b ⇒l = 20 or 10

Hence, rectangular garden sides (20, 5) or (10, 10)