Answer
width = 2.5 ft
length = 4 ft
Work Step by Step
Let w be the width of the table.
The length is $2w-1$.
The area is $w(2w-1)$.
Given that the area is 10, solve for w.
$w(2w-1)=10$
$2w^2-w=10$
$2w^2-w-10=10-10$
$2w^2-w-10=0$
$(2w-5)(w+2)=0$
Use the zero product property to solve for w.
$2w-5=0$ OR $w+2=0$
$2w-5+5=0+5$ OR $w+2-2=0-2$
$2w=5$ OR $w=-2$
$2w\div2=5\div2$ OR $w=-2$
$w=2.5$ OR $w=-2$
Since the width cannot be negative, the width is 2.5 ft. Find the length.
$l=2(2.5)-1=5-1=4$ ft
