The length of a rectangle is 6cm longer than its width.
if the perimeter of the rectangle is 32cm, find its area.

A = 55 cm²

Step-by-step explanation:

Here, L = W + 6 cm, and P = 2W + 2L = 2W + 2(W + 6 cm) = 32 cm

Then 2W + 2(W + 6 cm) = 32 cm becomes:

         2W + 2W + 12 cm = 32 cm, or

               4W                   = 20 cm.

Therefore, W = 20 cm / 4  =  5 cm

The area of this rectangle is A = L · W = (5 cm + 6 cm) · (5 cm), or

                                                             A = (11 cm)(5 cm), or A = 55 cm²

square

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is