the perimeter of rectangular garden is 200 m if the length of the garden is three times the breath find the dissemination of the garden
Answers
Step-by-step explanation:
Perimeter of the rectangular field =2(l+b)
where l and b are the length and breadth of the rectangular field
⇒200=2(l+40)
⇒l+40=100
⇒l=60 m
Area of the rectangular field =lb
=60×40
=2400 m square.
Hope it helps you
MARK AS BRAINLIEST
Appropriate Question :
- The perimeter of rectangular garden is 200 m if the length of the garden is three times the breadth. find the dimensions of the garden ?
Given :
- The perimeter of rectangular garden is 200 m if the length of the garden is three times the breadth.
To Find :
- The dimensions of garden = ?
Solution :
⛢ Let the Breadth be x
- It is given in the question that,the length of the garden is three times the breadth. mathematically it can be expressed as : ]
≫ Length = 3 × Breadth
≫ Length = 3x
★ Now,let's find the dimensions of rectangular garden :
→ Perimeter of rectangle = 2 (Length + Breadth)
→ 200 = 2(3x + x)
→ 200 = 2(4x)
→ 200 ÷ 2 = 4x
→ 100 = 4x
→ x = 100 ÷ 4
→ x = 25 m
- Hence,the breadth of rectangular garden is 25 m.
★ Finding the Length of rectangular garden :
→ Length of rectangle = 3x
→ Length of rectangle = 3 × 25
→ Length of rectangle = 75 m
- Hence,the length of rectangular garden is 75 m.
★ V E R I F I C A T I O N :
→ 200 = 2(3x + x)
→ 200 = 2(75 + 25)
→ 200 = 2(100)
→ 200 = 200
LHS = RHS
Hence, Verified !