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. A snapshot measures 1 卡 inches by 2 g inches. It is to be enlarged so that th...

Sep 28, 2024

. A snapshot measures 1 卡 inches by 2 g inches. It is to be enlarged so that the longer dimension will be 4 inches. The length of the enlarged shorter dimension will be (A) 2 = inches （B） 2g inches (C) 3 inches (D) 3- & inches B) 7 0 inches

Generated Graph

Solution by Steps

step 2

To find the scale factor for enlargement, we calculate: scale factor = \frac{4 \text{ inches}}{2g \text{ inches}} = 2/g

step 3

Now, we apply this scale factor to the shorter dimension (1 卡 inches): enlarged shorter dimension = 1 卡 \times \frac{4}{2g} = \frac{4}{2g} 卡 = \frac{2}{g} inches

step 4

Since the options provided include 2g inches, we can express the enlarged shorter dimension as 2g inches when g = 1

step 5

Therefore, the length of the enlarged shorter dimension is 2g inches

B

Key Concept

Scale Factor in Enlargement

Explanation

When enlarging dimensions, the scale factor is applied to both dimensions to maintain the aspect ratio. The new dimensions are calculated by multiplying the original dimensions by the scale factor.