Answer: The dimensions of the rectangle are 7 cm × 4 cm
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