Your neighbor has decided to enlarge his garden. the garden is rectangular with width 6 feet and length 15 feet. the new garden will be similar to the original one, but will have a length of 35 feet. find the perimeter of the original garden and the enlarged garden.

The perimeter of original garden is 42 feet

The perimeter of enlarged garden is 82 feet

Solution:

The perimeter of rectangle is given as:

Perimeter = 2(length + width)

Given that,

The garden is rectangular with width 6 feet and length 15 feet

Length = 15 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(15 + 6)

Perimeter = 2(21)

Perimeter = 42

Thus perimeter of original garden is 42 feet

The new garden will be similar to the original one, but will have a length of 35 feet.

Length = 35 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(35 + 6)

Perimeter = 2(41) = 82

Thus perimeter of enlarged garden is 82 feet

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