ANSWER

EXPLANATION
The given rectangle has area,

It was given to us that, the length of the rectangle is l=(x+8)
To find the width, we need to factor, the expression for the area.
We split the middle term to get,

We now factor by grouping;


We know that area of a rectangle is

Hence the width of the rectangle is,
We need to see the picture...
Answer:
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
Yes ABD=CBD since they both are just half of the triangle