the breadth of a rectangle is half of its length parameter is 30 and find length and area
Answers
Answer:
Let length = l m
Breadth = l/2
2(l/2 + l) = 30
3/2 l = 15
l = 10 m
Area = 5 x 10 = 50 sq m.
Step-by-step explanation:
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Given,
- The Breadth of Rectangle is Half of It's Length.
- The Perimeter of Rectangle = 30 units
To Find,
- The Length of Rectangle.
- The Area of Rectangle.
Solution,
Let's,
The Breadth of Rectangle = X
So,
The Length of Rectangle = 2X
The Perimeter of Rectangle = 30 units
→ 2 × (Length + Breadth) = 30 units
→ 2 × (2X + X) = 30 units
→ 2 × 3X = 30 units
→ 3X = 30/2 units
→ 3X = 15 units
→ X = 15/3 units
→ X = 5 units
The Breadth of Rectangle = X
→ The Breadth of Rectangle = 5 units
The Length of Rectangle = 2X
→ The Length of Rectangle = 2(5 units)
→ The Length of Rectangle = 10 units
The Area of Rectangle = Length × Breadth
→ The Area of Rectangle = 10 units × 5 units
→ The Area of Rectangle = 50 Square units
Required Answer,
The Length of Rectangle = 10 units
The Area of Rectangle = 50 Square units