A square vegetable garden is built in a rectangular 50-meter-by-40-meter lawn. The lengths of the sides of the garden are 5 meters. What area of the lawn, in square meters, is outside of the vegetable garden?Responses1,5751,5751,7501,7501,8001,8001,9751,9752,4752,475
Question
A square vegetable garden is built in a rectangular 50-meter-by-40-meter lawn. The lengths of the sides of the garden are 5 meters. What area of the lawn, in square meters, is outside of the vegetable garden?Responses1,5751,5751,7501,7501,8001,8001,9751,9752,4752,475
Solution
To solve this problem, we first need to find the area of the rectangular lawn and the area of the square vegetable garden.
Step 1: Find the area of the rectangular lawn. The area of a rectangle is found by multiplying its length by its width. So, the area of the lawn is 50 meters * 40 meters = 2000 square meters.
Step 2: Find the area of the square vegetable garden. The area of a square is found by squaring the length of one of its sides. So, the area of the garden is 5 meters * 5 meters = 25 square meters.
Step 3: Subtract the area of the garden from the area of the lawn to find the area of the lawn that is outside of the garden. 2000 square meters - 25 square meters = 1975 square meters.
So, the area of the lawn that is outside of the vegetable garden is 1975 square meters.
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