The length of a rectangle is 3cm more than its width. If the area of the rectangle is 28cm^2,find the width.

 The dimensions of the rectangle are 7 cm × 4 cm

Step-by-step explanation:

let,

Breadth of the rectangle (l) = x

Length of the rectangle (b) = x + 3

Area of the rectangle = 28 cm²

Area of the rectangle = l × b

⇒ (x) × (x + 3) = 28

⇒ x² + 3 x = 28

⇒ x² - 3 x - 28 = 0  

⇒ x² - 7 x + 4 x - 28 = 0

⇒ (x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x = 4

Breadth = 4 cm

Length -

⇒ 4 + 3

⇒ 7 cm

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Step-by-step explanation:

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