Perimeter of rectangle is320 it's side are in the ratio of 5:3 then it's area is
Answers
Answer:
5x+3x=320
x=320/8
x=40
5x=5*40=200
3x=5*40=120 mark me brilliant please follow me please please mark me brilliant
l*b
200*120
24000area
Given :
- Perimeter of rectangle is 320 cm.
- Sides of the rectangle in the ratio of 5:3.
To find :
- Area of Rectangle =?
Formula Used :
- Perimeter of the rectangle = 2(length + breadth)
- Area of Rectangle = length x breadth
Step-by-step explanation :
Let, the length of the rectangle be, 5x.
Then, the breadth of the rectangle be, 3x.
As We know that,
Perimeter of the rectangle = 2(length + breadth)
And it is a given that,
Perimeter of rectangle is 320 cm.
As per question,
320 = 2(5x + 3x)
320 = 2 × 8x
320 = 16x
x = 320/16
x = 20.
Therefore, We got the value of, x = 20.
Hence,
The length of the rectangle, 5x = 5 × 20 = 100 cm.
Then, the breadth of the rectangle, 3x = 3 × 20 = 60 cm.
Now,
As We know that
Area of Rectangle = length x breadth
Substituting the values in the above formula, we get
= 100 × 60
= 6000
Therefore, the area of rectangle = 6000 cm².