The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden? 6 Feet squared 42 Feet squared 252 Feet squared 294 Feet squared
Question
The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden? 6 Feet squared 42 Feet squared 252 Feet squared 294 Feet squared
Solution
To solve this problem, we need to understand that when a figure is enlarged by a scale factor, both the length and the width are multiplied by this scale factor.
Step 1: Identify the dimensions of the scale model. The scale model is 1.5 ft by 4 ft.
Step 2: Multiply each dimension by the scale factor. The scale factor is 7, so the actual garden is 1.5 ft * 7 = 10.5 ft by 4 ft * 7 = 28 ft.
Step 3: Calculate the area of the actual garden. The area of a rectangle is length * width, so the area of the actual garden is 10.5 ft * 28 ft = 294 ft^2.
So, the area of the actual garden is 294 square feet.
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