Perimeter of rectangle is equal to 28 cm and its length is 2 cm more than its breadth. What is the length of diagonal BD?
(A) 6 cm (B) 8 cm
(C) 10 cm (D) 12 cm
(E) None of the above
Let length of the rectangle
Let breadth of the rectangle
It is given to us that perimeter of the rectangle
cm
cm
cm (1)
It is also given to us that length of the rectangle is 2 cm more than its breadth.
(2)
Putting equation (2) in equation (1), we get
cm
Putting value of
in equation (1), we get
cm
We know that ABCD is a rectangle. Therefore,
is right angled at C.
Therefore,
cm
Hence, the answer is (C)
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