Final answer:
To determine the area of a rectangle, multiply the length by the width, which yields an area of 38 inches by 37 inches results in 1406 square inches. However, this does not match any of the provided answer choices, suggesting a possible error in the question or choices.
Step-by-step explanation:
To find the area of a rectangle, we use the formula Area = length × width. In this case, we have a rectangle with dimensions of 38 inches by 37 inches. To calculate the area, we multiply these two dimensions together:
Area = 38 inches × 37 inches = 1406 square inches.
None of the provided options matches our calculated area of 1406 square inches, so there may be an error in the question or the answer choices. To express the area of a rectangle in a fraction, the numerator and denominator would have to be integers where the numerator is divisible by the denominator. Since our calculated area is not in fraction form and is an integer, there seems to be an issue with the given answer choices.
Comparing the given area in the example provided:
A garden plot measures 36.7 cm by 128.8 cm, which gives an area of:
36.7 cm × 128.8 cm = 4725.36 cm² or 47.2536 m² after converting from square centimeters to square meters, respecting the significant figures.
The scale factor is a multiplier that relates similar shapes to each other. In the examples given where a larger square is twice the dimensions of a smaller square, the scale factor would be 2. A scale drawing example given a scale of 1/2 inch equals 5 feet can help create a scale model or drawing by using a ratio to convert real-life measurements to the scale size.