Verified answer

The width of the rectangular lot is (x - 5) meter

Explanation:

Step 1: Enumerate the given values.

Given:

length = (x + 2)

Area = (x² - 3x - 10)

Step 2: Identify what is being asked.

Required:

width

Step 3: Solve for Width

Solution:

An area of a rectangle is given by the formula:

A = l x w

where: A - area

l - length

w - width

Substituting the value of A and l in the formula,

x² - 3x -10 = (x + 2)(w)

w = (x² - 3x - 10)/(x + 2)

Factor a² - 9a + 18 through trial and error

w = (x - 5)(x + 2)/(x + 2)

w = (x - 5)

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