Final answer:
The problem requires finding the shorter side of a rectangle given its perimeter and a relation between its sides. The equation derived from the given information suggests the shorter side is 13 meters; however, as this answer isn't listed in the provided options, the calculation needs to be rechecked or a mistake in the question's formulation considered.
Step-by-step explanation:
The question involves finding the dimensions of a rectangle when given the length of one side in terms of the other and the perimeter. Let us denote the shorter side of the rectangle as x meters. According to the problem statement, one side of a rectangle is 3 m shorter than seven times another side, which gives us the other side as 7x - 3 meters. The perimeter of a rectangle is calculated as the sum of twice the length and twice the width, represented by the formula P = 2l + 2w. We are given that the perimeter (P) of the rectangle is 202 meters.
Putting these values into the perimeter formula, we get:
2x + 2(7x - 3) = 202
Solving for x:
2x + 14x - 6 = 202 16x - 6 = 202 16x = 208 x = 13
Therefore, the length of the shorter side is 13 meters. However, this value is not among the options provided. We need to check if we made an error in our calculation.
Let's try again:
16x = 202 + 6 16x = 208 x = 208 / 16 x = 13
If we encounter a discrepancy like this where our result does not match any of the given options, we should recheck our steps for any potential mistakes or consider that there may be a typo or error in the question or options provided.