What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide? Correct Answer 76

<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo>&#xA0;</mo><mtext>&#x9A7;&#x9B0;&#x9BF;,&#xA0;&#x9AC;&#x9BE;&#x997;&#x9BE;&#x9A8;&#x99F;&#x9BF;&#x9B0;&#xA0;&#x9A6;&#x9C8;&#x998;&#x9CD;&#x9AF;&#xA0;x&#xA0;&#x9AE;&#x9BF;&#x99F;&#x9BE;&#x9B0;</mtext><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mn>6</mn><mo>&#xD7;</mo><mi>x</mi><mo> = </mo><mn>16</mn><mo>&#xD7;</mo><mn>12</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mi>x</mi><mo> = </mo><mfrac><mrow><mn>16</mn><mo>&#xD7;</mo><mn>12</mn></mrow><mn>6</mn></mfrac><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>x</mi><mo> = </mo><mn>32</mn></math>

Related Questions

A rectangular garden is surrounded by a path of uniform width of 2 m. What is the breadth of the rectangular garden? I. If the length of the garden is reduced by 2 m, it will become a square garden. II. If the length of the garden is reduced by 2 m, the area of the path will become 1/4 times of its original area. (External boundary of the path remains constant.)