What is the area of rhombus abcd ?

enter your answer in the box. do not round at any steps.

we know that

To find the area of a rhombus, multiply the lengths of the two diagonals and divide by two

so

where

d1 and d2---------> are the lengths of the two diagonals

In this problem the diagonals are

AC and DB

The formula to calculate the distance between two points is equal to

Step 1

Find the distance AC

substitute in the formula

Step 2

Find the distance DB

substitute in the formula

Step 3

Find the area of the rhombus

we have

substitute the values

therefore

the answer is

answer: i think it is (1,-2)

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