The perimeterr of a rectangle is 54cm.if it's width is 2 cam more than one fourth of its length, then its length(in cm) is equal to?
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12 cm
If its width is 2 cm more than one-fourth of its length. What is its length? 12 cm.
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Answer:
Length of a rectangle is 20 cm
Step-by-step explanation:
• The perimeter of a rectangle is 54 cm
• Width is 2 cm more than one fourth of its length
Find :
• Length of a rectangle
Solution :
Let,
Length of a rectangle = x
Width of a rectangle = 1/4 x + 2
(0.25x + 2)
1/4 = 0.25
So,
Perimeter of rectangle = 2 (length + width)
➨ 2 (x + 0.25x + 2) = 54
➨ 2x + 0.5x + 4 = 54
➨ 2.5x = 54 - 4
➨ 2.5x = 50
➨ x = 50 / 2.5
➨ x = 20
Therefore,
Length of a rectangle is 20 cm
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