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The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.​

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Answer:

breadth =  12 cm and Length is 48 cm

Explanation:

Let the length be x,

then the breadth will be [tex]\frac{1}{4}[/tex]x

Formula for area of rectangle:

length * breadth

using the formula:

x * [tex]\frac{1}{4} x[/tex] = 576

x² = 4(576)

x² = 2304

x = √2304

x = 48

Therefore the Length is 48 cm

Then the breadth  [tex]\frac{1}{4}[/tex] * 48 = 12 cm

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