The opposite sides of a rectangle are (2x-1)cm and (x+3)cm . if it has a perimeter of 28 cm , find the area of the rectangle

 49 square cm

For any rectangle, the opposite sides are the same length.

Set the given expressions equal to x and solve to get

2x-1 = x+3

2x-x = 3+1

x = 4

So each opposite side is:

Each side being the same length (7) confirms we have the correct x value.

Let's say L = 7 is the length and W is the unknown width.

We'll use the perimeter of a rectangle formula given below with P = 28 as the given perimeter. Solve for W.

P = 2*(L+W)

28 = 2*(7+W)

28/2 = 7+W

14 = 7+W

7+W = 14

W = 14-7

W = 7

The rectangle has a length of L = 7 and width of W = 7, so its area is

A = L*W

A = 7*7

A = 49 square cm

Because we have the length and width as the same value, this rectangle is also a square.

answer: need picture of problem

step-by-step explanation: