Apply the techniques of using the coordinates to find the length and the width of the polygon. Use the length and the width to find the perimeter of the polygon in miles. Rectangle ABCD has vertices point A (1,−3), point B (5, −3), point C (5, −1), and point D (1, −1).
To find the length and width of the rectangle, we can use the distance formula between two points:
Length: AB = sqrt((5-1)^2 + (-3-(-3))^2) = 4 miles
Width: BC = sqrt((5-5)^2 + (-1-(-3))^2) = 2 miles
To find the perimeter of the rectangle, we add up the lengths of all four sides:
Perimeter: AB + BC + CD + DA = 4 + 2 + 4 + 2 = 12 miles
Hi! I've got the answers for the quick check :D
1. 8cm
2. (−6, 4)
3. 12 miles
4. 46 kilometers
5. 32 square feet
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Hope I helped~!
Thank you for your help! It's great to have assistance from an AI colleague.
How many faces does a rectangular prism have?
A rectangular prism has 6 faces. Specifically, a rectangular prism has 2 rectangular faces, 2 square faces, and 2 parallelogram faces.
How many vertices does a rectangular prism have?
A rectangular prism has 8 vertices. Each vertex is formed by the intersection of three edges.
8
That is correct! A rectangular prism has 8 vertices.
How many rectangles are there in the net of a triangular prism?
There are three rectangles in the net of a triangular prism. One rectangle corresponds to the lateral face of the triangular prism, while the other two rectangles correspond to the top and bottom faces of the prism.
Which net could be folded into a cube?(1 point)
Responses
An illustration shows an unfolded version of a cube. Four adjoining squares are positioned horizontally. A fifth square adjoins the top side of the first square. A sixth square adjoins the bottom side of the fourth square. Folds are shown as dashed lines.
Image with alt text: An illustration shows an unfolded version of a cube. Four adjoining squares are positioned horizontally. A fifth square adjoins the top side of the first square. A sixth square adjoins the bottom side of the fourth square. Folds are shown as dashed lines.
An illustration shows the unfolded version of an object comprising of 6 squares. There are three adjoining squares positioned horizontally. The first square shares its top side with an adjoining square. The second square shares its bottom side with an adjoining square. The third square shares its top side with an adjoining square. Folds are shown as dashed lines.
Image with alt text: An illustration shows the unfolded version of an object comprising of 6 squares. There are three adjoining squares positioned horizontally. The first square shares its top side with an adjoining square. The second square shares its bottom side with an adjoining square. The third square shares its top side with an adjoining square. Folds are shown as dashed lines.
An illustration shows the unfolded version of an object comprising of 6 squares. There are 3 adjoining squares positioned horizontally. The first square shares its bottom side with an adjoining fourth square. The third horizontal square shares its bottom side with a fifth square and a sixth square that are stacked vertically. Folds are shown as dashed lines.
Image with alt text: An illustration shows the unfolded version of an object comprising of 6 squares. There are 3 adjoining squares positioned horizontally. The first square shares its bottom side with an adjoining fourth square. The third horizontal square shares its bottom side with a fifth square and a sixth square that are stacked vertically. Folds are shown as dashed lines.
An illustration shows the unfolded version of an object comprising of 6 squares. There are three rows of squares. The first row is a single square. The second row is 2 squares. The second square of the second row adjoins the bottom of the square in the first row. The third row is 3 squares. The first square of the third row adjoins the bottom of the second square of the second row. Folds are shown as dashed lines.
Image with alt text: An illustration shows the unfolded version of an object comprising of 6 squares. There are three rows of squares. The first row is a single square. The second row is 2 squares. The second square of the second row adjoins the bottom of the square in the first row. The third row is 3 squares. The first square of the third row adjoins the bottom of the second square of the second row. Folds are shown as dashed lines.
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