A rectangular garden is situated inside a square plot of side 30 meters. if the ratio of the length and breadth of the garden is 6:5, then the area of garden, answer with explanation
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(I think the question is: the area of largest garden)
So, Side of square plot = a = 30m
Area of Square plot = a² = (30)² = 900 m²
Now, the rectangular garden is inside square plot, so the length of the garden will always be less than or equal to the side a of square plot
L ≤ 30
Now, to get the largest area of garden, we need the largest length of garden
So, L = 30m
Now, ratio of sides of garden = 6:5
Length = 6x = 30
x = 5
Breadth = 5x = 25
Largest area of rectangular garden is
= 30 x 25
= 750 m²
So, Side of square plot = a = 30m
Area of Square plot = a² = (30)² = 900 m²
Now, the rectangular garden is inside square plot, so the length of the garden will always be less than or equal to the side a of square plot
L ≤ 30
Now, to get the largest area of garden, we need the largest length of garden
So, L = 30m
Now, ratio of sides of garden = 6:5
Length = 6x = 30
x = 5
Breadth = 5x = 25
Largest area of rectangular garden is
= 30 x 25
= 750 m²
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