Question

The width of a rectangular field is 20 feet less than its length. the area of the field is 12,000 ft2. what is the length of the field?

Answer 1

The length of the rectangular field is 120 ft if the width of a rectangular field is 20 feet less than its length and the area of the field is 12,000 ft².

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the length of the rectangular field is l and the width is w.

w = l - 20

The area of the rectangular field

lw = 12000

l(l - 20) = 12000

l² - 20l - 12000 = 0

After solving the quadratic equation, we get:

l =   120 or l = -100(length cannot be negative)

Thus, the length of the rectangular field is 120 ft if the width of a rectangular field is 20 feet less than its length and the area of the field is 12,000 ft².

Learn more about the rectangle here:

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