Question

the area of rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing 180 yards. find the length and width of plot

Answer 1

9514 1404 393

Answer:

• length: 50 yd
• width: 40 yd

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.