the length of rectangle is 2 times it's breadth and perimeter is 48 cm.then find the dimensions
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Answered by
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Length= 2× Breadth
Perimeter= 2(L+B)
= 2(2×B+B)= 2×3B= 6B
48= 6B
B= 48/6= 8Cm
Length= 2×8= 16 CM
Length= 16 cm, Breadth= 8 cm
Answered by
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Step-by-step explanation:
✶ Answer :
- Length = 16 cm
- Breadth = 8 cm
✶ Given :
- The length of rectangle is 2 times it's breadth and perimeter is 48 cm. Then find the dimensions.
✶ To find :
- The dimensions of the rectangle.
✶ Solution :
Given,
Perimeter = 48cm.
✦ According to the question,
Length is 2 times it's breadth.
✦ Therefore,
- Length = 2x
- Breadth = x
✦ As we know,
Perimeter of a rectangle = 2(l + b)
✦ Putting Values :
↣ 48 = 2 (2x + x)
↣ 48 = 2 × 3x
↣ 48/2 = 3x
↣ 24 = 3x
↣ x = 24/3
↣ x = 8
✦ We got the value of x = 8.
- Length = 2x = 2 × 8 = 16 cm.
- Breadth = x = 8 cm.
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