Question
Download Solution PDFA field is 150 m long and 80 wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of field = 150 m
Breadth of field = 80 m
Formula used:
Perimeter of rectangle = 2 × (L + B)
Diagonal of rectangle = √(L2 + B2)
Where, L = length; B = breadth
Calculation:
Diagonal of rectangle × (X) = perimeter of rectangle
⇒ √{(150)2 + (80)2} × (X) = 2 × (150 + 80)
⇒ √{(22500 + 6400} × (X) = 2 × 230
⇒ √28900 X = 460
⇒ X = 460/170 = 2.7
∴ The correct answer is 2.7.
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