Scales 2
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Question 1 of 4
1. Question
An architect has designed a floor plan for a new bedroom with `1:80` as the scale. If the length of the bedroom on the plan is `650 \text(mm)`, what would the actual length be in metres?
- (52) `\text(m)`
Hint
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Well Done!
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A scale is the ratio of the size of a model to the actual object it represents.Quad boxes are used to easily find ratesFirst, fill up the quad boxes with the three known values and have the unknown value be `x`.Plan Actual `1` `80` `650` `x` Next, equate the two columns and solve for `x`.`1/(650)` `=` `80/x` `1(x)` `=` `80(650)` Cross multiply `x` `=` `52 000` Since the given measurement for the plan is in `\text(mm)`, this value will be `52 000 \text(mm)`.Finally, convert the millimetres into metres.`1 \text(metre)` `=` `1000 \text(millimetres)` `x` `=` `52 000xx1/(1000)` `1000mm` has `3` zeroes `:.` move `3` decimal places to left `x` `=` `(52 000)/(1000)` `=` `52` `x=52 \text(m)` -
Question 2 of 4
2. Question
A map indicates that the distance between two towns is `20\text(cm).`
If the scale of the map is `1:10 000`, what is the actual distance between the two towns in kilometres?
- (2) `\text(km)`
Hint
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Great Work!
Incorrect
A scale is the ratio of the size of a model to the actual object it represents.Quad boxes are used to easily find ratesFirst, fill up the quad boxes with the three known values and have the unknown value be `x`.Map Land `1` `10 000` `20` `x` Next, equate the two columns and solve for `x`.`1/(20)` `=` `(10 000)/x` `1(x)` `=` `10 000(20)` Cross multiply `x` `=` `200 000` Since the given measurement for the map is in `\text(cm)`, this value will be `200 000 \text(cm)`.Finally, convert the centimetres into kilometres.`1 \text(kilometre)` `=` `100 000 \text(centimetres)` `x` `=` `200 000xx1/(100 000)` `100 000cm` has `5` zeroes `:.` move `5` decimal places to left `x` `=` `(200 000)/(100 000)` `=` `2` `x=2 \text(km)` -
Question 3 of 4
3. Question
Complete the scale- `1:100 000=1 \text(cm):` (1)` \text(km)`
Hint
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Excellent!
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A scale is the ratio of the size of a model to the actual object it represents.First, complete the ratio on the right by using the same value and unit.`1:``100 000` `=` `1` `\text(cm)``:``100 000 \text(cm)` Finally, convert the second ratio into kilometres.`1 \text(kilometre)` `=` `100 000 \text(centimetres)` `100 000xx(1)/(100 000)` `=` `1` `1 \text(cm)` `:` `1 \text(km)` `1 \text(km)` -
Question 4 of 4
4. Question
Complete the scale- `1:6000=1 \text(m):` (6)` \text(km)`
Hint
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Nice Job!
Incorrect
A scale is the ratio of the size of a model to the actual object it represents.First, complete the ratio on the right by using the same value and unit.`1:``6000` `=` `1` `\text(m)``:``6000 \text(m)` Finally, convert the second ratio into kilometres.`1 \text(kilometre)` `=` `1000 \text(metres)` `6000xx(1)/(1000)` `=` `6` `1 \text(m)` `:` `6 \text(km)` `6 \text(km)`