what are the answers to Use Area to Solve Problems Quick Check

10 answers

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1.
Question
Use the image to answer the question.

An illustration shows a trapezoid with shorter base of length 36 and the opposite longer side of length 48. The legs on the left and right sides are of length 21. The perpendicular height from the bottom left vertex to the longer side is 18. The length between the top left vertex of the longer side and the point where the height meets the longer side is labeled 6. The height is shown in a dashed line.

Compose a rectangle to help find the area of a trapezoid-shaped tabletop in square inches. What is the area of the tabletop?

(1 point)
Responses

648 square inches
648 square inches

864 square inches
864 square inches

882 square inches
882 square inches

756 square inches

2. Question
Use the image to answer the question.

An illustration shows a parallelogram that is divided into four equal sections by a horizontal and a vertical line intersecting at the center. Measurements are labeled on the bottom first section as follows: The base is labeled 8 inches and left side is 5 inches. The perpendicular height from the top left vertex to the base is 4 inches. The height is drawn in dashed line.

To cover a garden path, a landscape designer plans to cover a walkway with parallelogram-shaped paving stones. Construct a rectangle to find the area covered by 4 paving stones. What is the area in square inches?

(1 point)
Responses

160 square inches
160 square inches

128 square inches
128 square inches

52 square inches
52 square inches

40 square inches

3. Question
Use the image to answer the question.

An illustration shows two concentric rectangles, an outer and an inner rectangle. The length of the outer rectangle shown vertically is labeled as 36. The width labeled horizontally is 24. The distance between the lengths of the outer and inner rectangle is labeled as 4 on the left and right. The distance between the widths of the outer and inner rectangle is labeled as 6 on the top and bottom. The distances are shown using dashed lines.

A picture framer is painting the front of a picture frame. What is the area of the frame? Assume that all segments that look congruent are congruent and all angles that look like right angles are right angles.

(1 point)
Responses

288
288

480
480

576
576

864

4. Question
Use the image to answer the question.

An illustration shows a composite figure of two similar sets where a central pentagon is surrounded by a layer of 5 pentagons, one on each side. Two central pentagons are drawn separately with dashed lines. On each side of the central pentagons, another pentagon is drawn using solid lines. Each central pentagon has 5 surrounding pentagons. One pentagon from each set shares a common side.

A net that folds into a dodecahedron is made up of pentagons. If you decompose each pentagon into one triangle and one trapezoid, how many triangles and how many trapezoids are there?

(1 point)
Responses

12 triangles and 12 trapezoids
12 triangles and 12 trapezoids

10 triangles and 10 trapezoids
10 triangles and 10 trapezoids

6 triangles and 6 trapezoids
6 triangles and 6 trapezoids

60 triangles and 0 trapezoids
60 triangles and 0 trapezoids

5. Use the image to answer the question.

An illustration shows a wing-like structure with two-part wings on either side, and a magnified, labeled figure of a two-part wing. The magnified two-part wing shows two similar pentagons, stacked in opposite directions upon each other, sharing a common base. The description of the top pentagon is as follows: The base is 1.4 meters, the bottom left and right sides are smaller, and the top left and right sides are longer. A dashed line joining the top left and right vertices is labeled as 2.6 meters. The triangular region above this dashed line is shaded. The perpendicular distance from the top vertex to the dashed line is 0.3 meters, and from the dashed line to the base is 0.4 meters. The base is extended out to the right to the length of the top right vertex using a dashed line, labeled as 0.6 meters. The right vertices on the top and bottom pentagons are joined with a solid line labeled as height 0.8 meters. This line forms a triangle with the right short sides of the pentagons. This triangle is shaded. Adjacent to magnified wing, a winged figure is shown with a long central oval shape with two-part wings extending left and right from two small triangles above the long oval. A small circle sits on top of the figure.

You are making a dragonfly kite. You want to cover all parts of all four wings, including the triangles in the center, with shiny nylon. The dimensions of one pair of wings is shown. The kite will need two sets of wings. Decompose the figure on the left into simple shapes. How many square meters of nylon will you need to cover both pairs of wings?

(1 point)
Responses

5.24 square meters
5.24 square meters

10.48 square meters
10.48 square meters

4.76 square meters
4.76 square meters

2.62 square meters
1. 648 square inches
2. 160 square inches
3. 480
4. 12 triangles and 12 trapezoids
5. 10.48 square meters
are these the right answers..? o-O
Yes, these are the correct answers for the questions provided in your "Use Area to Solve Problems Quick Check" activity.
ok.
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Alright then. Feel free to reach out to me if you need any help in the future. Have a great day!
uhm the 5th question is wrong please try again
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