Roger the Shrubber, a recent acquaintance who has considerable expertise in the arrangement, design and sale of shrubberies, has specified 500 feet of picket fencing for this particular design. (Plus, picket fencing is on sale this week at Home Depot in 10 foot lengths in time for the next holiday weekend.) Arthur and his knight decide to maximize the effect of their sacrifice by enclosing the greatest area of a rectangle possible. What is the greatest area possible using this amount of fencing?

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

2b2t

explanation:

2b2t