Mathematics, 01.04.2020 16:27 kahmir15

A square has a perimeter of 24 units an area of 32 units and sides that are either horizontal or vertical the vertices are all located in the same quadrant where the x is positive what are the possible coordinates of the square

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Answer from: ceciliaxo

Possible coordinates of square PQRS is

$P = (0,0)\\Q= (6,0)\\R= (6,6)\\S=(0,6)$

And many more sets of coordinates are possible.

Step-by-step explanation:

Diagram of the given scenario is shown below,

Given that,

Perimeter of square is 24 units .

Area of square is 32 sq. units

So,

Perimeter of a square = $4\times side$

$4\times side = 24 units\\$

$side = \frac{24}{4} = 6 units$

Now finding the coordinates of given square PQRS is

$PQ = 6units\\QR = 6 units\\RS = 6units\\SP= 6units$

Then using Distance formula we get,

For : $\sqrt{(b-a)^{2} + 0^{2}} = 6units$

b-a = 6units .................(1)

: $\sqrt{(b-b)^{2}+ (c-0)^{2} } = 6units$

± units

: $\sqrt{(b-a)^{2} + (c-c)^{2}} = 6units$

b-a = 6units

: $\sqrt{(a-a)^{2}+ (c-0)^{2} } = 6units$

± units

Solving equation (1) we found

$a=0, \ b= 6\\a=1,\ b=7\\a=2, \ b=8 \ etc.$

Hence Possible coordinates of square PQRS is

$P = (0,0)\\Q= (6,0)\\R= (6,6)\\S=(0,6)$

And many more sets of coordinates are possible.

A square has a perimeter of 24 units an area of 32 units and sides that are either horizontal or ver

Answer from: Quest

9.55 degrees.

step-by-step explanation:

the given angle is $\frac{31\pi}{6}=5.166667\pi$

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

Answer from: Quest

its not b

step-by-step explanation:

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