Find the perimeter of a rectangular piece of land with an area of 97,200 m2 and one side 3 times larger than the other.
June 14, 2021 | education
| Let x meters be the width of the rectangular area;
Then 3 meters is the length of the rectangular section;
Let’s compose the equation of the area of the rectangle and find x:
3x * x = 97200 m²;
3x² = 97200;
х² = 97200/3;
x² = 32400;
x = 180 m – the width of the site;
3x = 3 * 180 = 540 m – section length;
The perimeter of a rectangle is equal to the sum of all its sides, just like the perimeter of any shape. Let’s find it:
P = a + b + c + d;
P = 180 + 540 + 180 + 540 = 1440 m – perimeter.
Answer: The perimeter of a rectangular land plot is 1440 meters.
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