The dimension of the rectangle is (x - 5) meters by (x + 1) meters.
Step-by-step explanation:
A = x² - 4x - 5
The area of a rectangle is given by the equation:
A = l x w
where: A - area
l - length
w - width
Substitute the value of A
x² - 4x - 5 = l x w
Factor
(x + 1)(x - 5) = l x w
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Verified answer
The dimension of the rectangle is (x - 5) meters by (x + 1) meters.
Step-by-step explanation:
Step 1: Identify the given values
A = x² - 4x - 5
Step 2: Formulate an equation using the formula for the area of the rectangle
The area of a rectangle is given by the equation:
A = l x w
where: A - area
l - length
w - width
Step 3: Solve for the length of the sides
Substitute the value of A
x² - 4x - 5 = l x w
Factor
(x + 1)(x - 5) = l x w
#CarryonLearning