The length of a rectangle 8 more than the width. the area is 513 square inches. find the length and width of the rectangle

width = 19 inches

length = 27 inches

Step-by-step explanation:

Let width be w inches so according to given scenario as length is 8 more than width so the equation becomes

l=8+w inches (Equation 1)

Area of Rectangle = L*w

Area = 513

L*w=513 (Equation 2)

Putting l's value from equation 1 in equation 2

(8+w) w=513

w^2+8w-513=0

Making Factors

w^2+27w-19w-513=0

w (w+27) - 19 (w+27) = 0

(w-19) (w+27) = 0

w=19, w=-27

as width cannot be negative so if we only consider w=19 then

l=8+19

l=27