Answer:
Area of new garden = 800 ft²
Step-by-step explanation:
Given:
Old fencing = Parameter of old garden = 60 ft
Area of old garden = 200 ft
Find:
Area of new garden if Parameter of new garden is 120 ft
Computation:
Assume;
Length of old garden = l
Width of old garden = b
So,
2[l + b] = 60
l + b = 30
l = 30 - b
Area of old garden = 200 ft
l x b = 200
So,
(30 - b)b = 200
b² - 30b + 200 = 0
b² - 20b - 10b + 200
b(b-20) - 10(b-20)
(b-20)(b-10)
So,
Width of old garden = 10 ft
Length of old garden = 20 ft
New parameter is double
So,
Width of new garden = 10 x 2 = 20 feet
Length of old garden = 20 x 2 = 40 feet
Area of new garden = l x b
Area of new garden = 20 x 40
Area of new garden = 800 ft²
