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2 December, 23:17

The width of a rectangle is the length - 3 units. The area of the rectangle is 40 units. What is the width, in units, of the rectangle

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  1. 3 December, 00:11
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    Width of the rectangle is 5 units

    Step-by-step explanation:

    Step 1: Let the length of the rectangle be x. Then the width = x - 3. Find dimensions if area = 40 sq. units

    Area of the rectangle = length * width

    ⇒ 40 = x (x - 3)

    ⇒ 40 = x² - 3x

    ⇒ x² - 3x - 40 = 0

    ⇒ x² + 5x - 8x - 40 = 0 (Using Product Sum rule to factorize)

    ⇒ x (x + 5) - 8 (x + 5) = 0

    ⇒ (x + 5) (x - 8) = 0

    ⇒ x = - 5, 8 (negative value is neglected)

    x = 8 and x - 3 = 5
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