Question
Download Solution PDFIn a rectangle, diagonal is 4 times of its breadth. The ratio of length to breadth is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The diagonal is 4 times its breadth.
Concept:
Length and breadth are different in rectangles.
Formula used:
Pythagorean theorem for rectangle
Diagonal2 = Length2 + breadth2
Calculation:
Let the breadth of the rectangle is B
The diagonal of the rectangle = 4B
The length of the rectangle
⇒ Length2 = (4B)2 - B2 = 16B2 - B2 = 15B2
⇒ Length = √15B
The ratio of length and breadth = √15B : B = √15 : 1
∴ The required result will be √15 : 1.
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