On a scale drawing of a house, a rectangular bedroom has a length of 8 inches and a perimeter of 30 inches. The scale is 0.5 inch= 1 foot. What is the actual width of the feet of the bedroom?
7 feet
14 feet
15 feet
22 feet
this is my answer but I don't know whether to choose 14 or 7
30- 8*2=30-16=14/2=7*0.5=3.5
in inches, 2(8+w) = 30
so, w = 7in
Since each inch = 2ft, the room is 14 ft wide.
Your last step should have been 7 / 0.5, not 7 * 0.5
And be careful where you use = signs. Those various quantities are in no way equal.
Thank you for explaining it to me. I will be more careful next time.
To find the actual width of the bedroom in feet, we need to first find the width on the scale drawing.
We know that the scale is 0.5 inch = 1 foot. The length of the bedroom in the scale drawing is 8 inches. So, the length of the bedroom in feet on the scale drawing would be 8/0.5 = 16 feet.
Next, we need to find the width of the bedroom on the scale drawing. We know that the perimeter of the rectangular bedroom is 30 inches. The length is 8 inches. The formula to find the perimeter of a rectangle is P = 2(length + width).
Substituting the given values, we have 30 = 2(8 + width).
Simplifying the equation, we have 30 = 16 + 2w.
Subtracting 16 from both sides, we have 14 = 2w.
Dividing both sides by 2, we have w = 14/2 = 7 inches.
Now, to find the actual width of the bedroom in feet, we need to convert 7 inches to feet using the scale.
Since the scale is 0.5 inch = 1 foot, we have 7 inches * (1 foot / 0.5 inches) = 7 * 2 = 14 feet.
Therefore, the actual width of the bedroom in feet is 14 feet.