Aplot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had an area of 200 x 300 m, what is the value of x?

x=100

Step-by-step explanation:

Original plot

A = 200*300

A = 60000

New plot

The new length is 200+x and the new width is 300+x

A = (200+x) (300+x)

It doubles the area = 60000*2 = 120000

120000 = (200+x) (300+x)

We need to find x

FOIL

120000 = 60000 +300x+200x +x^2

120000 = 60000 +500x +x^2

Subtract 120000 from each side

120000-120000 = 60000-120000 +500x +x^2

0 = x^2 +500x - 60000

Factor

0= (x-100) (x+600)

Using the zero product property

x=100 or x=-600

Since we cannot add negative land

x=100

it is a reproduction.

step-by-step explanation:

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.