Adjacent sides of a rectangle are in the ratio 5:12. If the perimeter

1.	Adjacent sides of a rectangle are in the ratio 5:12. If the perimeter of the rectangle is 34 cm, findthe length of the diagonal.
Answer» Answer: Heya !!! Let sides of RECTANGLE be 5X and 12X. Perimeter of rectangle = 34 2 ( L + B ) = 34 2 ( 12X + 5X) = 34 17X = 17 X = 17/17 = 1 cm Length of rectangle = 12X = 12 × 1 = 12 cm And, Breadth of rectangle = 5X = 5 × 1 = 5 cm Therefore, Length of DIAGONAL = ✓(L)²+(B)² => ✓(12)² + (5)² => ✓144 + 25 => ✓169 => 13 cm ★ HOPE IT WILL HELP YOU ★

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

Answer»

Answer:

Heya !!!

Let sides of RECTANGLE be 5X and 12X.

Perimeter of rectangle = 34

2 ( L + B ) = 34

2 ( 12X + 5X) = 34

17X = 17

X = 17/17 = 1 cm

Length of rectangle = 12X = 12 × 1 = 12 cm

And,

Breadth of rectangle = 5X = 5 × 1 = 5 cm

Therefore,

Length of DIAGONAL = ✓(L)²+(B)²

=> ✓(12)² + (5)²

=> ✓144 + 25

=> ✓169

=> 13 cm

★ HOPE IT WILL HELP YOU ★