The length and breadth of a rectangle are in the ratio 3:2. If the area of the
rectangle is 216sq.m, then find the length of the rectangle and also find
the perimeter.
Answers
Answered by
7
Answer :-
Let the length be 3x and breadth be 2x.
We know that,
Area = Length × Breadth
Substituting the values :-
→ 216 = 3x × 2x
→ 216 = 6x²
→ x² = 216 / 6
→ x² = 36
→ x = 6
- Length = 6 × 3 = 18 m
- Breadth = 6 × 2 = 12 m
→ Perimeter = 2 ( Length + Breadth )
→ P = 2 ( 18 + 12 )
→ P = 2 ( 30 )
→ P = 60
Perimeter of rectangle = 60 m
Answered by
0
Step-by-step explanation:
Let the dimensions of the Rectange be x
Area of Rectangle = l × b
216 m^2 = 3x × 2x
216 m^2 = 6x^2
216/6 = x^2
36 = x^2
6 = x
Length = 3x = 3 × 6 = 18
Breadth = 2x = 2 × 6 = 12
Perimeter of Rectangle = 2 ( l + b )
Perimeter of Rectangle = 2 ( 18 + 12 )
Perimeter of Rectangle = 2 × 30
Perimeter of Rectangle = 60 m
Hope it helps!!
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