A rectangle measures 8 cm on length. Its diagonal measures 10 cm. What is the perimeter of the rectangle?

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RRB TC CC Exam (Mumbai) 2006 click here to view all questions

A rectangle measures 8 cm on length. Its diagonal measures 10 cm. What is the perimeter of the rectangle?

A36 cm

B38 cm

C 28 cm

D18 cm

Akilesh Kharvi ? Nov 6 '2016 at 23:13

Answer is : 28 cm
Let the breadth of rectangle = x cm
so, \(x^2 + 8^2 = 10^2\)
\(x^2 + 64 =100\)
\(x^2 = 100 -64\)
\(x^2 = 36\)
\(x = 6\)

Perimeter = 2 (length + breadth)
=2(8 + 6)
=2(14)
=28

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Answer is : 28 cm Let the breadth of rectangle = x cm so, \(x^2 + 8^2 = 10^2\) \(x^2 + 64 =100\) \(x^2 = 100 -64\) \(x^2 = 36\) \(x = 6\) Perimeter = 2 (length + breadth) =2(8 + 6) =2(14) =28 Akilesh Kharvi ? answered Nov 6 '2016 at 23:13 All Comments

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