A drawing of a certain park is made to scale so that 1 centimeter represents 14 meters. On the drawing, the length of the park is 9 centimeters and the width of the park is 5.5 centimeters. The length of the actual park is how many meters longer than its width?

Rationale

The length of the actual park is 49 meters longer than its width.

To find the difference in length and width of the actual park, we first convert the dimensions from centimeters to meters using the scale of 1 centimeter representing 14 meters. The actual length is 9 cm × 14 m/cm = 126 meters, and the actual width is 5.5 cm × 14 m/cm = 77 meters. The difference is 126 m - 77 m = 49 m.

A (28) YOUR ANSWER

This choice suggests that the length of the actual park is 28 meters longer than its width. However, this is incorrect as it does not accurately reflect the calculation based on the dimensions provided. The correct difference, as derived from the actual measurements, is much greater.

B (35) YOUR ANSWER

Selecting 35 meters implies that the actual length exceeds the width by this amount. This value is also incorrect, as it underestimates the difference calculated between the length and width of the park using the given scale.

C (49) CORRECT

The correct answer reflects the actual difference in meters between the length and width of the park. After applying the scale conversion, the calculations yield a length of 126 meters and a width of 77 meters, resulting in a difference of 49 meters.

D (56) YOUR ANSWER

Choosing 56 meters indicates a larger difference than calculated. This option does not align with the actual measurements obtained from the drawing's scale, which clearly shows a smaller difference.

E (63) YOUR ANSWER

This choice suggests an even greater difference of 63 meters. This is incorrect as well, as the calculated difference of 49 meters is significantly less than this figure, based on the scale conversion.

Conclusion

The calculations based on the provided scale indicate that the length of the park is 126 meters and the width is 77 meters. The difference, which is the correct answer, is 49 meters, accurately representing how much longer the actual length is compared to the width. All other options fail to reflect the true difference derived from the measurements.

A drawing of a certain park is made to scale so that 1 centimeter represents 14 meters. On the drawing, the length of the park is 9 centimeters and the width of the park is 5.5 centimeters. The length of the actual park is how many meters longer than its width?

The length of the actual park is 49 meters longer than its width.

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