A blueprint 8 centimeters wide and 14 centimeters high is to be enlarge.if the height of the enlargement will be 30 centimeters, how wide will it be?
The width grows by the same ratio as the height, so
w/8 = 30/14
To find out how wide the enlargement will be, we can set up a proportion using the given information.
The ratio of the width to the height of the original blueprint can be expressed as 8 cm : 14 cm.
Let's use "x" to represent the width of the enlargement.
So, we have the proportion: 8 cm / 14 cm = x cm / 30 cm
To solve this proportion, we can cross-multiply and solve for x.
Cross-multiplying gives us: 8 cm * 30 cm = 14 cm * x cm
240 cm = 14x
Finally, we can solve for x by dividing both sides of the equation by 14:
240 cm / 14 = x
The result is approximately 17.14 cm.
Therefore, the width of the enlargement will be approximately 17.14 centimeters.