10. The sides of a rectangle are in the ratio 3 : 2. If itsperimeter i

1.	10. The sides of a rectangle are in the ratio 3 : 2. If itsperimeter is 50 cm, find its sides.
Answer» Answer: Length of the rectangle is 15 cm and breadth of the rectangle is 10 cm. Step-by-step explanation: Given :- The sides of a rectangle are in the ratio 3:2. PERIMETER of the rectangle is 50 cm. To find :- Its sides. Solution :- ★ The sides of the rectangle are in the ratio 3:2. Consider, Length of the rectangle = 3X cm Breadth of the rectangle = 2x cm. Formula used : ${\boxed{\sf{Perimeter\:of\: rectangle=2(length+breadth)}}}$ ★ Perimeter of the rectangle is 50 cm. According to the question , 2(3x+2x)=50 → 3x+2x = 50/2 → 5x = 25 → x = 25/5 → x = 5 ★ Length of the rectangle = 3×5 = 15 cm ★ Breadth of the rectangle = 2×5 = 10 cm ___________________ Additional information :- ★ Area of rectangle = length× breadth ★ DIAGONAL of rectangle = √(length²+ breadth²) ★ Perimeter of square = 4 × side ★ Area of square = side²

10. The sides of a rectangle are in the ratio 3 : 2. If itsperimeter is 50 cm, find its sides.

Answer»

Answer:

Length of the rectangle is 15 cm and breadth of the rectangle is 10 cm.

Step-by-step explanation:

Given :-

To find :-

Solution :-

★ The sides of the rectangle are in the ratio 3:2.

Consider,

Formula used :

${\boxed{\sf{Perimeter\:of\: rectangle=2(length+breadth)}}}$

★ Perimeter of the rectangle is 50 cm.

According to the question ,

2(3x+2x)=50

→ 3x+2x = 50/2

→ 5x = 25

→ x = 25/5

→ x = 5

★ Length of the rectangle = 3×5 = 15 cm

★ Breadth of the rectangle = 2×5 = 10 cm

Additional information :-

★ Area of rectangle = length× breadth

★ DIAGONAL of rectangle = √(length²+ breadth²)

★ Perimeter of square = 4 × side

★ Area of square = side²