American football uses a field that is 100 yd long, whereas a regulation soccer ficld is 100 m l

American football uses a field that is 100 yd long, whereas...

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units using a conversion factor. This is crucial when comparing measurements given in different units, such as yards and meters, to ensure they are comparable on the same scale.

Percentage Calculation

Percentage calculation involves finding the relative difference between two values by computing the ratio of the difference to a reference value and then multiplying by 100. This method is useful for quantifying how much one measurement deviates from another in relative terms.

Measurement Comparison

Measurement comparison entails evaluating two or more quantities by converting them to a common unit and then determining both the absolute and relative (percentage) differences. This ensures a fair and accurate comparison between different measurement systems.

Transcript

00:02 This question states, american football uses a field that is 100 yards long, whereas regulation soccer field is 100 meters long.

00:10 Which field is larger, and by how much? give the difference in yards, meters, and percent.

00:16 So i wrote down here what we were given.

00:19 We're given that the length of the football field, which i wrote as l sub f, is 100 yards.

00:23 The length of the soccer field, l sub s, is 100 meters.

00:26 And i also wrote the conversion between meters and yards, since we need to, in order to compare them, we need them in the same units.

00:33 So one meter is equal to 1 .09 yards.

00:36 Already, just by looking at this, since a meter is bigger than a yard, and we have 100 yards and 100 meters, we know that the soccer field is going to have to be larger than the football field, but we have to actually show by how much larger is it in both meters and in feet.

00:54 So let's go ahead and do it, or i'm sorry, not in feet, in yards.

00:58 So let's go ahead and do it in yards first.

01:00 So we have the soccer field length minus the football field length, right, is equal to, well, the soccer field is in meters, but we want it in yards.

01:14 If we're going to find our answer in yards, so we need to multiply this by the conversion between meters and yards and 1 .09 yards for every one meter.

01:29 I wrote meters there, not yards, 1 .09 yards for every one meter, right? okay, and then we're going to subtract from that 100 yards.

01:49 100 meters times 1 .09 yards per meter is going to be 109 yards...

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