if the breadth of a rectangle is one third of it's length and perimeter is 32 cm, find length and breadth of rectangle.
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Answer:
Length of the rectangle is 12 cm and the Breadth of the rectangle is 4 cm.
Step-by-step explanation:
Given that, the breadth of a rectangle is ⅓ of its length and perimeter is 32 cm.
Let,
- The length of the rectangle = x cm
Then,
The breadth of the rectangle = ⅓ × x = x/3 cm.
According to the question,
2(x+x/3) = 32
→ x+x/3 = 32/2
→ x + x/3 = 16
→ 4x/3 = 16
→ 4x = 16×3
→ 4x = 48
→ x = 48/4
→ x = 12
★ Length of the rectangle is 12 cm.
★ Breadth of the rectangle = ⅓ × 12 = 4 cm.
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