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Glen wants to seed his rectangular yard that measures 52 feet by 98 feet. One bag of grass seed covers 5,000 square feet. He estimates that he needs enough seed to cover 50×100 , or 5,000, square feet, and concludes that one bag of seed is enough. Which explains whether Glen's conclusion is logical? (1 point) Responses Glen's conclusion is logical. Glen knows that his estimate is an overestimate because he rounded 98 up to 100. Therefore, one bag of seed is enough. Glen's conclusion is logical. Glen knows that his estimate is an overestimate because he rounded 98 up to 100. Therefore, one bag of seed is enough. Glen's conclusion is logical. Glen knows that his estimate is an underestimate because he rounded 52 down to 50. Therefore, one bag of seed is enough. Glen's conclusion is logical. Glen knows that his estimate is an underestimate because he rounded 52 down to 50. Therefore, one bag of seed is enough. Glen's conclusion is not logical. Glen does not know whether his estimate is an overestimate or an underestimate because he rounded 52 down to 50 and rounded 98 up to 100. Therefore, he should round both numbers down to determine whether one bag of seed is enough. Glen's conclusion is not logical. Glen does not know whether his estimate is an overestimate or an underestimate because he rounded 52 down to 50 and rounded 98 up to 100. Therefore, he should round both numbers down to determine whether one bag of seed is enough. Glen's conclusion is not logical. Glen does not know whether his estimate is an overestimate or an underestimate because he rounded 52 down to 50 and rounded 98 up to 100. Therefore, he should multiply the actual dimensions to determine whether one bag of seed is enough. Glen's conclusion is not logical. Glen does not know whether his estimate is an overestimate or an underestimate because he rounded 52 down to 50 and rounded 98 up to 100. Therefore, he should multiply the actual dimensions to determine whether one bag of seed is enough. Skip to navigation

1 answer

To determine whether Glen's conclusion is logical, we need to analyze the information provided:

  1. The actual dimensions of Glen's yard are 52 feet by 98 feet.

  2. The area of the yard is calculated as follows: \[ \text{Area} = \text{length} \times \text{width} = 52 , \text{feet} \times 98 , \text{feet} = 5096 , \text{square feet} \]

  3. Glen estimates that he needs enough seed to cover 50 feet by 100 feet, which equals: \[ \text{Estimated Area} = 50 , \text{feet} \times 100 , \text{feet} = 5000 , \text{square feet} \]

  4. Glen concludes that one bag of seed, which covers 5,000 square feet, is sufficient.

Now let's evaluate Glen's conclusion:

  • The actual area of his yard (5096 square feet) is larger than his estimated area (5000 square feet).
  • Since his estimate is lower than the actual area, he is underestimating the seed he actually needs.

Therefore, Glen's conclusion that one bag of seed is enough is not logical because he does not know whether to consider his estimate accurate based on the rounded dimensions, and the actual area he needs to cover exceeds his estimate.

Thus, the correct response is:

Glen's conclusion is not logical. Glen does not know whether his estimate is an overestimate or an underestimate because he rounded 52 down to 50 and rounded 98 up to 100. Therefore, he should multiply the actual dimensions to determine whether one bag of seed is enough.