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prealgebra intermediate

Problem

A rectangular garden 50 feet long and 10 feet wide is enclosed by a fence. To make the garden larger, while using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden?
Solution
The area of the garden was 500 square feet and its perimeter was 120 feet, . The square garden is also enclosed by 120 feet of fence so its sides are each 30 feet long. The square garden's area is 900 square feet (. and this has increased the garden area by square feet.
Final answer
400