the area of the rectangle is 338 square CM if the breadth is the rectangle is double of the length find the perimeter of rectangle
A)78 Sq cm
B)78 cm
C)39 Sq cm
D)39 cm
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Answer:
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Step-by-step explanation:
Given that:
The area of the rectangle is 338 sq. cm.
The breadth of the rectangle is double of the length.
To Find:
The perimeter of the rectangle.
Formula used:
In a rectangle,
A = L × B
P = 2(L + B)
Where,
A = Area
P = Perimeter
L = Length
B = Breadth
Let us assume:
The length of the rectangle be x.
Breadth = 2x
Finding the value of x:
↣ 338 cm² = x × 2x
↣ 338 cm² = 2x²
↣ 338 cm²/2 = x²
↣ 169 cm² = x²
↣ √(169 cm²) = x
↣ 13 cm = x
↣ x = 13 cm
Finding the perimeter:
↣ P = 2(x + 2x)
↣ P = 2(3x)
↣ P = 6x
∵ x = 13 cm
↣ P = 6(13 cm)
↣ P = 78 cm
Hence,
The perimeter of the rectangle is B) 78 cm.
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Step-by-step explanation:
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