The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of
the rectangle?
1 answer:
Length of the rectangle is 8 units
Step-by-step explanation:
- Step 1: Find the length, let width be x.
Area of the rectangle = 48 units
Length = x + 2
⇒ Area = Length × Breadth
48 = x (x + 2)
48 = x² + 2x
x² + 2x - 48 = 0
x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)
x(x + 8) - 6(x + 8) = 0
(x - 6)(x + 8) = 0
⇒ x = 6, -8 (negative value is neglected)
∴ x = 6
x + 2 = 8
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