The ratio of length and breadth of a rectangle is 2:3 .If perimeter is 50 cm .Find dimension of the rectangle?
Answers
Answer:
length and breadth of the rectangle= 2:3
let the length and breadth be 2x and 3x
perimeter of the rectangle = 50 cm
perimeter = 2(l+b)
2X (2x+3x) = 50
2 X 5x =50
10x= 50
x= 50/10
x= 5
therfore, length of the rectangle= 2x
= 2X 5= 10cm
breadth of the rectangle =3x
=3X5= 15cm
Answer:
The length of rectangle = 10 cm
The breadth of rectangle = 15 cm
Step-by-step explanation:
Let,
- The length of rectangle = 2x
- The breadth of rectangle = 3x
Perimeter is 50 cm.
Perimeter of rectangle = 2 (length + breadth)
⇒ 2 (2x + 3x) = 50
⇒ 4x + 6x = 50
⇒ 10x = 50
⇒ x = 50/10
⇒ x = 5
★ Value of 2x :
⇒ 2x
⇒ 2 × 5
⇒ 10
The length of rectangle = 10 cm
★ Value of 3x :
⇒ 3x
⇒ 3 × 5
⇒ 15
The breadth of rectangle = 15 cm
Therefore,
The length of rectangle = 10 cm
The breadth of rectangle = 15 cm