A rectangle's length is three centimeters more than twice its width. The lengths of the sides of a square are six centimeters less than five times the rectangle's width. If the two have the same perimeter, then what are the dimensions of each shape? Please show work.

-6 is the correct option from the above given options

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

there are no answer choices

step-by-step explanation: