The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A 12.50 cm

B 14.21 cm

C 15.98 cm

D 17.08 cm

Solution

Correct Answer: Option D

Let the length of the rectangle = L cm

 

Then the breadth of the rectangle = (L - 10) cm

 

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = \(\sqrt{L^2+B^2}\) = \(\sqrt{16^2+6^2}\) = 17.08 cm

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