riveraalexandra riveraalexandra
  • 10-03-2018
  • Mathematics
contestada

a rectangular field has dimensions of (2x-3) yards and (x+4) yards. the area of the field is 285 square yards. what are the length and width of the field?

Respuesta :

Аноним Аноним
  • 10-03-2018
Area = Length x Width

285 = (2x-3)(x+4)
285 = 2x^2 + 8x - 3x - 12
285 = 2x^2 + 5x - 12 
2x^2 + 5x - 12 = 285
2x^2 + 5x - 297 = 0
(2x^2  + 27)(x - 11) = 0
x = -27/2 (rejected, length cannot be negative) or 11
x = 11

2x - 3 = 2(11) - 3 = 19
x + 4 = 11 + 4 = 15

So the length and width are 19 yards and 15 yards

Answer Link

Otras preguntas

In a monohybrid cross, if the gene for tall (T) plants was incompletely dominant over the gene for short (t) plants, what would be the predicted result of cross
how far will you travel if you run for 10 minutes at 2m/sec
In general, _______________________________ has little influence on the politics of the Middle East. a. oil b. democratic rule c. the religion of Islam d. prese
what increased rapidly during the first several decades of the Second Industrial Revolution
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!! Clyde drove 30 miles in 20 minutes and then drove an additional 10 miles in 10 minutes. What is the average speed f
what kind of clause is if you save your money
what kind of clause is if you save your money
Is it possible for A^2=0 and A is not equal to 0?
Charles I dismissed Parliament and did not recall them for how many years?
Which time is faster 5.3 or 5.19