the length of a rectangle is twice its width. the perimeter of the rectangle is 42cm. what is the length and width for the rectangle?

Length = 14 cm

  width = 7 cm

Step-by-step explanation:

given:

rectangle

where    L = 2W

             W = W

Perimeter = 42 cm

find: Length of L

solution:

Perimeter or a rectangle = 2L + 2W

plugin the given values into the formula:

42 = 2(2W) + 2W

42 = 4W +2W

42 = 6W

W = 42/6

W = 7 cm (width of Rectangle)

solve L by using  substituting W=7 in L = 2W

L = 2W

L = 2 (7)

L = 14 cm

therefore, the Length = 14 cm

                          width = 7 cm

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.