Question

Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal.




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Answer 1

Answer:

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Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal.

Answer 2

Let, the adjacent side(breadth & length) of the rectangle be 5x and 12x.

We know that, perimeter of rectangle = 2(l + b)

The perimeter of the rectangle = 34 cm

By the problem,

2(l + b) = 34

=》2(12x + 5x) = 34

=》2 × 17x = 34

=》34x = 34

=》x = 1

The value of x = 1 cm

So the value of length = 12 × 1= 12 cm

The value of breadth = 5 × 1= 5 cm

Now, the formula for, the diagonal of a rectangle = root (l² + b²)

By using this formula,

The diagonal of the rectangle = root (12² + 5²)

= root (144 + 25)

= root (169)

= root (13²)

= 13 [ as when a squared number comes out from a root, square is removed]

Therefore, the diagonal of the rectangle is 13 cm.

Explanation:

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