A house on the market was valued at $263,000. After several years, the value increased by 19% By how much did the house's vaule increase in dollars? What is the current value of the house

Value of house increased in several years is $49,970 and New value of house is  $312,970.

Step-by-step explanation:

A house on the market was valued at $263,000. After several years, the value increased by 19% . And so , new value of house is increased by a factor of 19% i.e. New value of house = previous value + 19% of previous value

⇒New value of house = previous value + 19% of previous value

Previous value = $263,000 and ,

19% of previous value = = $49,970

⇒New value of house  = $263,000 + $49,970 = $312,970

Now, Value of house increased in several years  = 19% of previous value of house

⇒Value of house increased in several years =   = $49,970.

∴ Value of house increased in several years is $49,970 and New value of house is  $312,970.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!