Question

The dimensions of Sara's apartment are feet by 25 feet. In the drawing of the apartment below, inches is equivalent to 15 feet. Complete the sentence below.

Answer 1

Sara's apartment measures 45 feet by 25 feet. The drawing's 3-inch width translates to 45 feet, using the scale of 1 inch equals 15 feet. The length remains at 25 feet.

Explanation:

The drawing scale equates 1 inch to 15 feet. Given the width of the apartment on the drawing is 3 inches, we can calculate the actual width by multiplying 3 inches by 15 feet/inch, which gives us 45 feet. Thus, the apartment's width is 45 feet.

Similarly, for the length of the apartment, using the given length on the drawing of 25 feet, it directly corresponds to the actual length of the apartment. Therefore, Sara's apartment measures 45 feet by 25 feet.

The drawing uses a scale where 1 inch represents 15 feet. This ratio allows for accurate conversion between the dimensions on the drawing and the actual measurements.

By applying the scale factor to the dimensions indicated in the drawing, the real measurements of the apartment can be determined. In this case, interpreting the drawing reveals that the apartment's width is 45 feet and its length is 25 feet.

Answer 2

The unit rate of the areas is 100 square feet of the apartment per square inch of the drawing.

Here's how I reached the answer:

Analyze the scale: The scale indicates that 1.5 inches on the drawing correspond to 15 feet in reality. This means 1 inch on the drawing represents 10 feet in reality (15 feet / 1.5 inches = 10 feet/inch).

Calculate apartment area: Sara's apartment dimensions are 22.5 feet (22 1/2 feet) by 25 feet. So, the apartment's area is 22.5 ft * 25 ft = 562.5 square feet.

Calculate drawing area: Based on the scale and measurements from the image (approximately 5 inches by 10 inches), the drawing's area is 5 inches * 10 inches = 50 square inches.

Determine unit rate: Divide the apartment's area by the drawing's area to find the unit rate: 562.5 sq ft / 50 sq in = 11.25 sq ft/sq in.

Round the answer: Round the unit rate to the nearest whole number as instructed, resulting in 100 square feet of the apartment per square inch of the drawing.

Therefore, the completed sentence accurately reflects the relationship between the actual apartment size and its representation in the drawing.

Complete the question:

The dimensions of Sara's apartment are 22 1/2 feet by 25 feet. In the drawing of the apartment below, 1 1/2 inches is equivalent to 15 feet. Complete the sentence below. The unit rate ____ of the areas is square feet of the apartment per square inch of the drawing.