In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter  of the rectangle? (STEP BY STEP EXPLANATION)

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

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).