A designer's architectural drawing has a room which is 1 3/4 by 2 5/8 inches. If the scale is 1 foot = 1/8 inch
a) find the length of the longer side of the room feet
b) find the length of the shorter side of the room feet
Please see my last post.
Your question is not too clearly typed.
1_3/4 times 2_5/8 indicates that we are dealing with a rectangle where the length is the bigger length and the width is the shorter length.
2_5/8 when expressed an an improper fraction becomes 21/8 and 1_3/4 becomes 7/4.
From the given data, we learn that 21/8 must be the length and 7/4 is the width of the rectangle.
The scale given is 1 foot = 1/8 inch.
To find what this rectangle equals in terms of feet, we divide 21/8 and 7/4 by the given scale or 1/8.
21/8 divided by 1/8 = 21 feet = longest side; 7/4 divided by 1/8 = 14 feet = shortest side.
To find the length of the longer side of the room in feet, you need to calculate the actual length of the room using the given scale. Here's how to do it:
Step 1: Convert the mixed number representation of the longer side of the room, which is 1 3/4 inches, into an improper fraction. Multiply the whole number (1) by the denominator (4) and add the numerator (3). The improper fraction representation of 1 3/4 is (1 x 4 + 3)/4 = 7/4 inches.
Step 2: Use the scale given, which is 1 foot = 1/8 inch, to convert inches to feet. Divide the length in inches (7/4 inches) by the conversion factor (1/8) to get the length in feet: (7/4) ÷ (1/8) = (7/4) x (8/1) = (7 x 8)/(4 x 1) = 56/4 = 14.
Therefore, the longer side of the room is 14 feet.
To find the length of the shorter side of the room in feet, you'll follow the same steps using the given dimension of 2 5/8 inches:
Step 1: Convert the mixed number representation of the shorter side of the room, which is 2 5/8 inches, into an improper fraction: (2 x 8 + 5)/8 = 21/8 inches.
Step 2: Use the scale of 1 foot = 1/8 inch to convert inches to feet: (21/8) ÷ (1/8) = (21/8) x (8/1) = (21 x 8)/(8 x 1) = 168/8 = 21.
Therefore, the shorter side of the room is 21 feet.