Arectangular 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?

The area of a rectangle is given by the multiplication of its dimensions:

In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:

If you expand the right hand side, you have

And if you move all terms to the right hand side, this becomes

This is a quadratic equation, since it is in the form , where

If you plug these values in the generic formula

you get

Let's see which dimensions they yield:

But the dimensions of a rectangle can't be negative, so we can't accept this answer.

The other solution yields

So these are the dimensions of the rectangle

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

isi

step-by-step explanation:

use that smart brain