Question

Alguien que me ayude con este ejercicio porfavor.
Deteremina la base y altura de cada rectangulo, teniendo en cuenta las expresiones algebraicas correspondientes.

Answer 1

b.
36 = (x+1)(x+4)
36 = x²+4x+x+4 = x²+5x+4
x²+5x-32 = 0
x={-5+-√(5² - (4*1*-32))} / 2*1
x = {-5+-√(25+128) / 2
x = {-5+-√153}/2
x = {-5+-12.369}/2
x = {-5+12.369}/2 = 7.369/2 = 3.685
base = x+1 = 4.685
altura = x+4 = 7.685
4.685*7.685 ≈ 36

b.
18 = (x+1)(x-2)
18 = x²-2x+x-2 = x²-x-2
x²-x-20 = 0
x = {1+√(1²-(4*1*-20))}/2*1
x = {1+√(1+80)}/2
x = {1+9}/2 = 10/2 = 5
base = x+1 = 6
altura = x - 2 = 3
6*3 = 18

c.
20 = (x+3)(x+4)
20 = x²+4x+3x+12 = x²+7x+12
x²+7x-8 = 0
x={-7+√(7²-(4*1*-8))}/2*1
x={-7+√(49+32)}/2
x={-7+9}/2 = 2/2 = 1
base = x+3 = 4
altura = x+4 = 5
5*4 = 20