Two adjacent sides of a rectangle are in the ratio 5 : 3. If its perimeter is 64cm, then the length and breadth of the rectangle are
Answers
Answer:
- 20,12,20,12.
Step-by-step explanation:
Let one side be 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same
Perimeter = sum of all side
64=5x+3x+5x+3x
64=16x
x=4
So sides of parallelogram are 20,12,20,12.
by Arif Hassan
Step-by-step explanation:
Given :-
Two adjacent sides of a rectangle are in the ratio 5 : 3.Its perimeter is 64cm.
To find :-
Find the length and breadth of the rectangle ?
Solution :-
Given that :
The ratio of two adjacent sides of a rectangle = 5:3
Let they be 5X cm and 3X cm
In a rectangle the adjacent sides are its length and breadth
Length of the rectangle (l) = 5X cm
Breadth of the rectangle (b) = 3X cm
We know that
Perimeter of a rectangle (P) = 2(l+b) units
On Substituting these values in the above formula then
=> Perimeter of the given rectangle
=> P = 2(5X+3X) cm
=> P = 2(8X) cm
=> P = 16X cm
According to the given problem
Perimeter of the rectangle = 64cm.
=> 16X = 64
=> X = 64/16
=>X = 4 cm
If X = 4 cm then 5X = 5×4 = 20 cm
If X = 4 cm then 3X = 3×4 = 12 cm
Length = 20 cm
Breadth = 12 cm
Answer:-
Length of the rectangle = 20 cm
Breadth of the rectangle = 12 cm
Check:-
Length = 20 cm
Breadth = 12 cm
Their ratio = 20:12
=> 20/12
=> (5×4)/(3×4)
=> 5/3
=> 5:3
and
Perimeter of the rectangle = 2(l+b) units
=> P = 2(20+12) cm
=>P = 2(32) cm
=> P =64 cm
Verified the given relations in the given problem.
Used formulae:-
- Perimeter of the rectangle = 2(l+b) units
- l = length of the rectangle
- b = breadth of the rectangle