A farmer has a rectangular field that is 100 yards long by 20 yards wide. What is the total area of the field?

A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.

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Let x = width

and y = length

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The because he has 200 ft of fencing, this must lest than or equal to the perimeter:

2 (x+y) = 200

x+y = 100

Solving for x:

x+y = 100

x = 100-y

The area of the field is equal to the area of rectangular

a = l * w

Given:

l = 100 yards

w = 20 yards

Solution:

put the numbers to the formula

a = l * w

a = 100 * 20

a = 2,000

The area of the field is 2,000 square yards