The perimeter of a rectangle is 48 cm. If the length is 3 cm more than a number and the width is 6 cm more than twice the same number. What is the number?

x = 5cm.

Step-by-step explanation:

Let the number be x

Given the following data;

Length of rectangle = x + 3

Width of rectangle = 2x + 6

Perimeter of rectangle = 48 cm

The formula for the calculating the perimeter of a rectangle is;

Perimeter = 2(L+W)

Substituting into the equation, we have;

48 = 2(x + 3 + 2x + 6)

48 = 2(3x + 9)

48 = 6x + 18

48 - 18 = 6x

30 = 6x

x = 30/6

x = 5

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)