The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale model of the dining room, what is the area of the dining room in the scale model? 18 square feet 36 square feet 48 square feet 72 square feet
Question
The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale model of the dining room, what is the area of the dining room in the scale model? 18 square feet 36 square feet 48 square feet 72 square feet
Solution 1
To solve this problem, we first need to find the area of the actual dining room. The area of a rectangle is found by multiplying the length by the width. So, for the dining room, we multiply 18 feet by 16 feet to get 288 square feet.
Next, we need to apply the scale factor to the area. The scale factor is one-fourth, which means the scale model will be one-fourth the size of the actual room. So, we multiply the area of the dining room by the scale factor:
288 square feet * 1/4 = 72 square feet
So, the area of the dining room in the scale model is 72 square feet.
Solution 2
To solve this problem, follow these steps:
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First, calculate the area of the actual dining room. The area of a rectangle is calculated by multiplying the length by the width. So, 18 feet * 16 feet = 288 square feet.
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Next, apply the scale factor to the area. The scale factor is one-fourth, so you multiply the actual area by the scale factor: 288 square feet * 1/4 = 72 square feet.
So, the area of the dining room in the scale model is 72 square feet.
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