Adjacent sides of a rectangle are in the ratio 5: 12, if the perimeter of the rectangle is 34cm, find the length of the diagonal.
Given the adjacent sides of a rectangle are in the ratio 5:12.
Therefore let the sides be 5x and 12x.
Then 5x + 12x + 5x + 12x = 34
34x = 34
x = 1cm
Hence the sides are 12cm and 5cm.
5cm
12 cm
The length of the diagonal = √(52 + 122) ) (In a right angled triangle applying Pythagoras theorem) = √(25 + 144) = � = 13cm. Therefore the length of the diagonal is 13cm.
Therefore let the sides be 5x and 12x.
Then 5x + 12x + 5x + 12x = 34
34x = 34
x = 1cm
Hence the sides are 12cm and 5cm.
5cm12 cm
The length of the diagonal = √(52 + 122) ) (In a right angled triangle applying Pythagoras theorem) = √(25 + 144) = � = 13cm. Therefore the length of the diagonal is 13cm.
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