rectangle has length 3 cm greater than its width. If it has an area of 28 cm 2 , find the dimensions of the rectangle.
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rectangle has length 3 cm greater than its width. If it has an area of 28 cm 2 , find the dimensions of the rectangle.
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Answer:
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 + 3x = 28
⇒ x² - 3x - 28 = 0
⇒ x² - 7x + 4x - 28 = 0
⇒ (x - 7) + 4(x - 7) = 0
⇒ (x - 7)(x + 4) = 0
⇒ x = 4
Breadth = 4 cm
Length -
⇒ 4 + 3
⇒ 7 cm
The dimensions of the rectangle are 7 cm × 4 cm.