Answer:
The length of the garden is 80 ft and the width is 30 ft
Step-by-step explanation:
1. Let's review the information provided to us to answer the math problem correctly:
Area of the rectangular plot = 2,400 ft²
Perimeter of the rectangular plot = 220 ft
2. What is the length and width of the garden?
x = Length of the garden
y = Width of the garden
Now, we can write our equations system to solve for x and y, as follows:
xy = 2,400
2x + 2y = 220
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2x + 2y = 220
2x = 220 - 2y
x = 110 - y
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Substituting x and solving for y:
(110 -y) * y = 2,400
110y - y² = 2,400
-y² + 110y - 2,400 = 0
y² - 110y + 2,400 = 0
(y - 80) (y - 30) = 0
y₁ = y - 80 = 0 ⇒ y₁ = 80
y₂ = y - 30 = 0 ⇒ y₂ = 30
If y = 30 ⇒ x = 80 and if y = 80 ⇒ x = 30
