a playground is 100ft by 150 ft. you want to make a scale drawing of the playground on a 8.5 by 11 paper what scale could you use? please help
1 inch = 15 feet
To determine the scale that can be used to create a scaled drawing of the playground on an 8.5 by 11 paper, we need to compare the dimensions of the playground and the dimensions of the paper.
First, let's calculate the ratio of the dimensions of the playground to the dimensions of the paper:
Length ratio = Length of playground / Length of paper
Width ratio = Width of playground / Width of paper
Length ratio = 100 ft / 8.5 in
Width ratio = 150 ft / 11 in
Next, let's convert the lengths to the same units (inches):
Length ratio = (100 ft * 12 in/ft) / 8.5 in
Width ratio = (150 ft * 12 in/ft) / 11 in
Length ratio = 1200 in / 8.5 in
Width ratio = 1800 in / 11 in
Simplifying the ratios gives us:
Length ratio = 141.18
Width ratio = 163.64
Since the scale represents the same ratio in both dimensions, we need to choose one scale that can accommodate both the length and width ratio. In this case, we will use the lower of the two ratios, which is the length ratio of 141.18.
Therefore, the scale that could be used is 1 inch on the paper represents 141.18 inches in real life.