An architect is creating a scale model of a building with a rectangular base. The ratio of the
building's base length to the scale model's base length is 110 in : 3 in. If the length of the base
of the scale model is 9 inches (in), what is the length of the base of the building to the nearest
foot?
Answer:

Answer: 28

Step-by-step explanation: 110in/ 3in = L/ 9in

Since we’re solving for L we see that L= 110in/ 3in x 9in = 330in.

Since there are 12 inches in 1 foot, you can determine the number of feet in the length of the building base by dividing the total number of inches by 12.

330/12 = 27.5 which rounds to 28 feet

The length of the base of the building is approximately 27.5 feet to the nearest foot.

To find the length of the base of the building, we can set up a proportion using the given ratio and the length of the base of the scale model.

Let's denote the length of the base of the building as 'x' feet.

The ratio of the building's base length to the scale model's base length is given as:

110 in : 3 in

To convert the scale model's base length to feet, we divide it by 12:

9 in ÷ 12 = 0.75 ft

Now we can set up the proportion:

110 in / 3 in = x ft / 0.75 ft

Cross-multiplying, we have:

110 in * 0.75 ft = 3 in * x ft

82.5 ft*in = 3x ft

To solve for x, we divide both sides by 3:

82.5 ft*in / 3 = x ft

27.5 ft = x ft

Therefore, the length of the base of the building is approximately 27.5 feet to the nearest foot.

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