Answer:
3.77yd
Step-by-step explanation:
Let the with be w yd, then the length of the rectangle will be
[tex]l = (w + 10)yd[/tex]
Area of a rectangle is length times width.
The area is given as 52yd².
This implies that;
[tex]w(w + 10) = 52[/tex]
Expand to get
[tex] {w}^{2} + 10w = 52 \\ {w}^{2} + 10w - 52 = 0[/tex]
The value of w is given by:
[tex]w = \frac{ - 10 \pm \sqrt{ {10}^{2} - 4(1)( - 52) } }{2 \times 1} [/tex]
This simplifies to:
[tex]w = - 13.77 \: or \: w = 3.77[/tex]
Since width is nonnegative, w=3.77
Therefore the approximate width is 3.77 yd
