Use the image to answer the question
A parallelogram shows the longer side on the top measuring 9 inches and the shorter side on the right measuring 3 inches.
Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing?
0.4 inches
60 inches
2.5 inches
7.5 inches
To find the length of the shorter side in Tiyane's scale drawing, we can set up a proportion using the given information:
9 inches (original longer side) is to 3 inches (original shorter side) as 22.5 inches (scaled longer side) is to x inches (scaled shorter side).
(9 inches / 3 inches) = (22.5 inches / x inches)
3 = 22.5 / x
3x = 22.5
x = 22.5 / 3
x = 7.5 inches
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 7.5 inches. The correct answer is:
7.5 inches
Solve the following problem: Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?
2.5 square centimeters
60 square centimeters
24 square centimeters
150 square centimeters
To find the area of the postcard after resizing the photo, we need to first find the width of the resized photo using proportions.
6 cm (original width) is to 4 cm (original height) as x cm (resized width) is to 15 cm (resized height).
(6 cm / 4 cm) = (x cm / 15 cm)
6/4 = x/15
1.5 = x/15
x = 1.5 * 15
x = 22.5 cm
Now, the area of the resized photo (which will be the same as the area of the postcard) is:
Area = Length * Width
Area = 15 cm * 22.5 cm
Area = 337.5 square cm
Therefore, the area of the postcard will be 337.5 square centimeters. The correct answer is:
150 square centimeters.
use the table to answer the question
| | | original poster | | scale drawing |
| left edge (in.) | | 36 | | ? |
| top edge (in.) | | 24 | | 8 |
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?
12 square inches
96 square inches
1/3 square meters
192 square meters
To find the area of Alfredo's scale drawing, we first need to determine the length of the left edge in the scale drawing using the given scale between the original poster and the scale drawing.
The scale for the top edge is calculated as:
Original length / Scale length = Original width / Scale width
24 / 8 = 36 / x
3 = 36 / x
3x = 36
x = 12 inches
Now, we have both dimensions of the scale drawing:
Length (left edge) = 12 inches
Width (top edge) = 8 inches
Area of the scale drawing = Length * Width
Area = 12 inches * 8 inches
Area = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches. The correct answer is:
96 square inches.