Q:

PLEASE ANSWER ASAP 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. 1 expreass the scale for the drawings without units 2.whose drawing is larger? How many times as large is it? Explain or show your reasoning.

Accepted Solution

A:
Answer:Part 1) The scale for the drawings without units are 1/12 and 1/36Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedureStep-by-step explanation:we know that1) Lin used a scale of [tex]\frac{1}{1} \frac{in}{ft}[/tex]Remember that1 ft=12 insubstitute in the scale[tex]\frac{1}{1} \frac{in}{ft}=\frac{1}{12} \frac{in}{in}=\frac{1}{12}[/tex]That means ----> 1 unit in the drawing represent 12 units in the actual2) Her brother used a scale of [tex]\frac{1}{1} \frac{in}{yd}[/tex]Remember that1 yd=36 insubstitute in the scale[tex]\frac{1}{1} \frac{in}{yd}=\frac{1}{36} \frac{in}{in}=\frac{1}{36}[/tex]That means ----> 1 unit in the drawing represent 36 units in the actualthereforeThe scale for the drawings without units are 1/12 and 1/36Part 2) Whose drawing is larger?The scale drawing 1/12 is larger than the scale drawing of 1/36To find out how many times as large is the scale 1/12 than the scale of 1/36Divide 1/12 by 1/36[tex](1/12)/(1/36)=36/12=3\ times[/tex]The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36ExplanationLet 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.