Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client.
The figure shows a map in the shape of a rectangle. The vertical length of this rectangle is labeled as 15 feet. Two vertical lines are drawn such that the map gets divided into three smaller rectangles. The rectangle on the extreme left is labeled as Bedroom 1 and the rectangle on the extreme right is labeled as Bedroom 2. The horizontal length of the two bedrooms is labeled as 9 feet. Two windows are shown on the left side and top side of the Bedroom 1. Two windows are drawn on the right side and top side of the Bedroom 2. In the rectangle formed in the middle, a horizontal line is drawn 5 feet from the top and the lower portion formed is labeled as Bathroom. The upper portion is further divided by a vertical line such that the dimensions of the two rectangles formed at the top is 3 feet and 5 feet and are labeled as CLOSET. The horizontal length of the Bathroom is labeled as 6 feet. Below the map, it is labeled as, All Doors colon 2 feet 6 inches, All Windows colon Upper W colon 3 feet Upper H colon 4 feet, Ceiling Height colon 8 feet and Scale colon 3 slash 8 inches hyphen 1 foot.
What are the dimensions of the outer rectangle in Leah’s scale drawing?
A.3 3/8 inches× 5 5/8
inches
B. 5 5/8 inches × 9 inches
C. 6 3/4 inches × 5 5/8 inches**
D. 15 inches× 24 inches
man, you really have a phobia against using actual math symbols, don't you?
"Scale colon 3 slash 8 inches hyphen 1 foot." means Scale: 3/8 in = 1 ft
Since the outer rectangle is 15x24 ft, that would scale down to
15(3/8) x 24(3/8) in
So, not C
To determine the dimensions of the outer rectangle in Leah's scale drawing, we can look at the given information. The vertical length of the rectangle is labeled as 15 feet, and the horizontal length of the two bedrooms is labeled as 9 feet.
Using the given scale of 3/8 inches - 1 foot, we can convert the dimensions from feet to inches.
Vertical length: 15 feet * 3/8 inches/foot = 45/8 inches = 5 5/8 inches
Horizontal length: 9 feet * 3/8 inches/foot = 27/8 inches = 3 3/8 inches
So, the dimensions of the outer rectangle in Leah's scale drawing are 5 5/8 inches × 3 3/8 inches.
The correct answer is C. 6 3/4 inches × 5 5/8 inches.
To determine the dimensions of the outer rectangle in Leah's scale drawing, you need to understand the given information about the scale and measurements provided.
According to the provided information, the vertical length of the rectangle is 15 feet, and the horizontal length of the two bedrooms is 9 feet. The scale mentioned is 3/8 inches - 1 foot.
To convert the dimensions to the scale drawing, we need to convert from feet to inches. Since there are 12 inches in a foot, we can multiply the dimensions by 12.
So, the scaled vertical length will be 15 ft × 12 in/ft = 180 inches, and the scaled horizontal length of the two bedrooms will be 9 ft × 12 in/ft = 108 inches.
Now, let's determine the dimensions of the outer rectangle.
The scaled vertical length of the outer rectangle is 180 inches.
To find the scaled horizontal length of the outer rectangle, we need to add the scaled horizontal lengths of Bedroom 1, Bedroom 2, and the shared bathroom.
The scaled horizontal length of Bedroom 1 and Bedroom 2 is 108 inches each.
The scaled horizontal length of the shared bathroom is given as 6 feet, and when converted to inches using the scale, it becomes 6 ft × 12 in/ft = 72 inches.
So, the total scaled horizontal length of the bedrooms and bathroom is 108 inches + 108 inches + 72 inches = 288 inches.
Therefore, the dimensions of the outer rectangle in Leah's scale drawing are 180 inches (vertical length) × 288 inches (horizontal length).
To choose the correct option, let's convert these dimensions back to feet and inches.
The vertical length is 180 inches = 180 inches / 12 in/ft = 15 feet.
The horizontal length is 288 inches = 288 inches / 12 in/ft = 24 feet.
Therefore, the correct option is D. 15 inches × 24 inches.