Question

*the perimeter of rectangle is 24cm if x and y are sides then what is x+y
*if larger side is 2cm more than smaller side write the equation
*find the sides of rectangle​

Answer 1

Answer:

Really, since opposite sides are equal in length in a rectangle, we only need to find two sides. We can call them  L  (length) and  W  (width).

The area of a rectangle is defined by  A=LW  

The perimeter of a rectangle is defined by  P=2(L+W)  

A=P=24  

∴24=LW,24=2(L+W)  

We will take the area equation:

24=LW  

L=24W  

We can now sub this into the perimeter equation.

24=2(L+W)  

12=L+W  

Let L=24W  

12=24W+W  

12W=24+W2  

0=W2−12W+24  

Using the Quadratic Formula,

W=12±122−4(1)(24)√2(1)  

W=6+23–√ or W=6−23–√  

So these are the two side lengths