rectangular Garden has length and breadth in the ratio 133: 156 if the area of the garden is 20748 square metre then what is the length of the diagonal path through the garden
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Dear Student,
● Answer -
Diagonal = 205 m
● Explanation -
Let x be common multiple such that,
length = 133x
width = 156x
Area of garden is -
Area = length × width
20748 = 133x × 156x
20748 = 133x × 156x
x^2 = 20748 / (133 × 156)
x^2 = 1
x = 1
Hence,
length = 133 × 1 = 133 m
width = 156 × 1 = 156 m
Length of diagonal is given by -
Diagonal = √(length^2 + width^2)
Diagonal = √(133^2 + 156^2)
Diagonal = √42025
Diagonal = 205 m
Hence, length of the diagonal path through the garden is 205 m.
Hope this helps you...
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