How to find length of a line - ISEE Middle Level Quantitative Reasoning

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Question

Which is the greater quantity?

(a) 370 meters

(b) 3,700 centimeters

Answer

One meter is equivalent to 100 centimeters, so 370 meters can be converted to centimeters by multiplying by 100:

.

370 meters are equal to 37.000 centimeters and is the greater quantity.

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Question

Which is the greater quantity?

(a) 4.8 kilometers

(b) 4,800 meters

Answer

One kilometer is equal to 1,000 meters, so convert 4.8 kilometers to meters by multiplying by 1,000:

meters

The two quantities are equal.

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Question

A regular pentagon has perimeter 1 yard. Give the length of one side.

Answer

A regular pentagon has five sides of equal length. The perimeter, which is the sum of the lengths of these sides, is one yard, which is equal to 36 inches. Therefore, the length of one side is

.

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Question

A regular hexagon has perimeter 8 feet. Give the length of one side.

Answer

The perimeter can be converted from feet to inches by multiplying by conversion factor 12 {inches per foot):

A regular hexagon has six sides of equal length. Divide this perimeter by 6 to obtain the length of each side:

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