The length and breadth of a rectangle are in the ratio 3:2 if it’s perimeter is 3 m 80cm find its dimensions
Answers
Step-by-step explanation: let the length and breadth be 3x and 4x...so since perimeter of a rectangle = 2(l+b)
3 x 100 +80=2(3x+4x)
=2 x 7x
14x=380
Answer:
Length of rectangle is 114 cm. and breadth is 76 cm.
Step-by-step explanation:
Given:
Perimeter of rectangle =3 m. 80 cm.
First of all we convert perimeter into cm.
1 m. = 100 cm.
3 m. =300 cm.
3 m. 80 cm. =300 +80 = 380 cm.
Perimeter of rectangle = 380 cm.
Ratio of length and breadth of rectangle is 3 : 2
Let length (l) of rectangle be 3x and breadth ( b ) be 2x
As we know that,
Perimeter of rectangle = 2 ( l+ b)
380 = 2 ( 3x + 2x)
380 /2 =5x
190 = 5 x
190 / 5 =x
38 =x
Length =3x = 3 × 38 = 114 cm.
Breadth = 2x = 2 × 38 = 76 cm.