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

9514 1404 393

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.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720