Two plots of land were fenced off with a fence of the same length. The first plot looks like a rectangle with sides
September 4, 2021 | education
| Two plots of land were fenced off with a fence of the same length. The first plot looks like a rectangle with sides of 60 m and 100 m, and the second one looks like a square. Which of these plots is larger in area?
1. The area of a plot of land in the shape of a rectangle: 60 x 100 = 6000 meters ².
2. The fence, which fenced off this site, has a length: 2 (60 + 100) = 2 x 160 = 320 meters.
3. Considering that a square-shaped plot of land is fenced with a fence of the same length, the length of the side of the square is 320: 4 = 80 meters.
4. The area of a square-shaped plot of land is 80 x 80 = 6400 meters²
5. The area of a square-shaped plot is larger than a rectangular plot by 6400 – 6000 = 400 meters²
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