of the scale drawing of a car park is drawn to a scale of 1cm representing 7cm and the car park is 133cm by 93m.find the length of the drawing
To find the length of the drawing, we need to first convert the measurements of the car park to the same unit as the scale drawing.
The car park is 133cm by 93m. Since we know that 1cm on the drawing represents 7cm, we can convert the length and width of the car park to centimeters.
133cm = 133cm * 7cm/1cm = 931cm
93m = 93m * 100cm/1m = 9300cm
Now that we have the measurements of the car park in centimeters, we can find the length of the drawing.
Since 1cm on the drawing represents 7cm in real life, we can set up the following proportion:
1cm / 7cm = L (length of the drawing) / 931cm
Using cross-multiplication, we can solve for L:
L = (1cm/7cm) * 931cm
L = 133cm
Therefore, the length of the drawing is 133cm.
To find the length of the drawing, we need to determine the scale factor first.
The scale factor is the ratio of the length of the actual car park to the length of the corresponding side in the drawing.
Given:
Scale of drawing = 1cm representing 7cm
Length of actual car park = 133cm
To find the scale factor, we can set up a proportion:
Scale factor = (length of actual car park) / (length in the drawing)
Scale factor = 133 cm / (x cm)
Since 1cm in the drawing represents 7cm in actual size, the scale factor is 7.
Now, we can find the length of the drawing:
Length of drawing = (Length of actual car park) / (Scale factor)
Length of drawing = 133 cm / 7
Length of drawing = 19 cm
Therefore, the length of the drawing is 19 cm.
To find the length of the drawing, we need to first convert the length of the actual car park to the scale used in the drawing.
The scale of the drawing is 1cm representing 7cm. This means that for every 1cm on the drawing, it represents 7cm in real life.
Given that the length of the actual car park is 133cm, we can now find the length of the drawing using the following proportion:
1cm (drawing) / 7cm (actual) = x (drawing length) / 133cm (actual length)
Cross-multiplying, we have:
7cm (actual length) * 1cm (drawing length) = 1cm (drawing) * 133cm (actual length)
7cm * 1cm = x (drawing length) * 133cm
7 = x * 133
Dividing both sides by 133:
7 / 133 = x
x ≈ 0.0526 (rounded to 4 decimal places)
So, the length of the drawing is approximately 0.0526 cm.