Question

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?
Answers:
A.
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.
B.
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.
C.
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.
D.
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.

Answer 1

The exact area=5096 square feet

(D)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.

We have dimensions of the rectangular field as 52 feet by 98 feet.

The area of the rectangular field =52×98 square feet

=5096 square feet

And one bag of grass seed covers 5,000 square feet.

So the left area=5096- 5,000 square feet

=96 square feet

Now, his estimation is 50 × 100 = 5,000 square feet

As the area of the rectangular field is more than the estimated area .

So, the 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.

Therefore option (D) is correct.

Learn more:brainly.com/question/900084