Length = 12 m and width = m.
Solution:
Let the width of the rectangle be w.
Length of the rectangle = 2w + 5
Area of the rectangle given = 42 m²
<em>Area of the rectangle = length × width</em>
length × width = 42
(2w + 5) × w = 42
Subtract 42 from both sides, we get
Using quadratic formula,
Here,
Dimension cannot be in negative, so neglect w = –6.
Width of the rectangle = m
Hence length = 12 m and width = m.