The length of a rectangle is five times its width. if the area of the rectangle is 84m, find its perimeter.

The width of the rectangle can be represented as x, and the length can be 5x.  Therefore, the area of the rectangle is x(5x)=84.

Solve for x:

6x=84

*Divide both sides by 6*

x=14

So, the width of the rectangle is 14.  To find the length, multiply 14 by 5.  The length is 70.

To find the perimeter, add up the length of each side:

14+14+70+70=168

The perimeter of the rectangle is 168.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation: