So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>
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I see the solution in three steps.
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS<span>≅RS | Reflexive Property
3.) </span><span>△RST ≅ △RSQ | AAS Triangle Congruence Property</span>
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.
Therefore;
6 tractors ----- 10 days
18 tractors --- x days
Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.
This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
