The length and width of rectangle are 18 inches and 6 inches respectively
<h3><u>Solution:</u></h3>
Given that area of rectangle is 108 square inches
Let "L" be the length of rectangle
Let "W" be the width of rectangle
<em><u>To find: dimenions of rectangle. i.e length and width</u></em>
Given that length is 12 inches longer then the width
Length = 12 + width
L = 12 + W
<em><u>The area of rectangle is given as:</u></em>
Substituting the given values in above formula,
<em><u>Let us solve the above quadratic equation using quadratic formula</u></em>
Substituting the values in quadratic formula,
Since width cannot be negative, ignore negative value
So width of rectangle = 6 inches
L = 12 + W = 12 + 6 = 18 inches
So the length and width of rectangle are 18 inches and 6 inches respectively