1.Lin and her brother each created a scale drawing of their backyard, but at different scales. Lin used a scale of 1 inch to 1 foot. Her brother used a scale of 1 inch to 1 yard. Whose drawing is larger? 2.How many times larger is Lin's drawing than her brother's drawing? You are being asked to compare the size of the areas of the drawings.

Part 1) The scale for the drawings without units are 1/12 and 1/36

Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedure

Step-by-step explanation:we know that

1) Lin used a scale of

Remember that

1 ft=12 in

substitute in the scale

That means > 1 unit in the drawing represent 12 units in the actual

2) Her brother used a scale of

Remember that

1 yd=36 in

substitute in the scale

That means > 1 unit in the drawing represent 36 units in the actual

therefore

The scale for the drawings without units are 1/12 and 1/36

Part 2) Whose drawing is larger?

The scale drawing 1/12 is larger than the scale drawing of 1/36

To find out how many times as large is the scale 1/12 than the scale of 1/36

Divide 1/12 by 1/36

The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36

Explanation

Let supposing that we want to represent in the drawing a measure that in its real size measures 36 units.  

In the scale of 1/12, the drawing will show a measure of 3 units (remember 3(12)=36 units).

At the 1/36 scale, the drawing will show a measurement of 1 unit (remember 1(36)=36 units).

Therefore the largest drawing will be with a scale of 1/12.

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