Question

if the lenght of a rectangle is (2x - 8) cm and the with is (x - 2) cm and the perimeter is 84 cm what is the value of the length ?

Answer 1

therefore i think its the length of the Z is 6.5 cm

Step-by-step explanation:a²±b²≡c² (2.5cm)²±(6cm)²=Z² 6.25 cm²±36 cm²=Z² 42.25 cm²=Z² 6.5 cm=Z

Answer 2

Explanation:

Perimeter = 84 cm

2*(length + width) = 84

2* (2x - 8 + x - 2) = 84

2*(2x + x - 8 - 2) = 84 {bring like terms together}

2*(3x - 10) = 84 {add/ subtract like terms}

Divide both sides by 2

`(2*(3x-10))/(2)=(84)/(2)\\\\`

3x - 10 = 42

3x - 10 +10 = 42 + 10 {add 10 to both sides}

3x = 52

Divide by 3,

`(3x)/(3)=(52)/(3)\\`

x= 17 1/3

Length = 2x - 8

`=2*(52)/(3)-8\\\\=(104)/(3)-(8*3)/(1*3)\\\\=(104)/(3)-(24)/(3)\\\\=(104-24)/(3)\\\\=(80)/(3)\\\\=26(2)/(3)`