The length of a rectangular field is 5 meters more than its width. Its area is 300 square meters. How long is the field?

the length is 20meters

Step-by-step explanation:

from the question we were given that the length of a rectangular field is 5 meters more than its width, so we say let the width be x.

mathematically,

x = width

and length = x + 5 ( since the length is 5 meters more than the width)

then,

recall that the area of a rectangle  = length × the width

given that the area = 300 square meters

300 = x + 5 × x

300 = x ( x +5)

300 = x² + 5x

x² + 5x -300 = 0

( x+20) (x-15)

x = -20 or x = 15

note that there is nothing like negative length so we will ignore the -20 so our x = 15 (width).

no, to find the length of the rectangle

from length = x + 5

                    = 15 +  5

                    = 20meters

therefore the length is 20meters

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: