9514 1404 393
Answer:
- length: 50 yd
- width: 40 yd
Step-by-step explanation:
The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...
x(90 -x) = 2000 . . . . where x is length or width
x^2 -90x +2000 = 0 . . . . rearrange to standard form
(x -40)(x -50) = 0 . . . . . . . factor
x = 40 or x = 50
The dimensions of the rectangular plot are 40 yards by 50 yards.
