Given the diagram below find the value of x if the area is 21 aquare meters

x = 7

Step-by-step explanation:

Before we solve the problem, we can make the following statements:

Area = 21

Area = l x w

l = x

w = x - 4

therefore,

(x - 4) x x = 21

- 4x = 21

- 4x -21 = 0

(x - 7)(x + 3) = 0

x = 7 or x = -3

Since it's impossible to get a positive area with a negative length value, we will reject x = -3.

So, the answer is x = 7