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
40 square inches
40 square inches
52 square inches
52 square inches
128 square inches
128 square inches
The area covered by 4 paving stones can be found by constructing a rectangle with dimensions equal to the base and height of the parallelogram. The base is 8 inches and the height can be found by extending the dashed line to the bottom right corner, which is also 4 inches. Therefore, the area of the rectangle is 8 inches x 4 inches = 32 square inches. Since there are 4 paving stones, the total area covered is 4 x 32 square inches = 128 square inches. The answer is option D, 128 square inches.
there are sixteen berries in a bowl. the ratio of blueberries to strawberries is 3 to 1 what value should be inserted in each rectangle?
the number [ ] should be inserted into each rectangle.
answere me please
To find the area covered by 4 paving stones, we need to calculate the area of the parallelogram.
Observing the given illustration, we can see that the base of the parallelogram is 8 inches and the left side is 5 inches. The perpendicular height from the top left vertex to the base is 4 inches.
To find the area of the parallelogram, we multiply the base by the height. In this case, the base is 8 inches and the height is 4 inches.
Area = base * height
= 8 inches * 4 inches
= 32 square inches
Since there are 4 paving stones, we need to multiply the area by 4 to find the total area covered by the paving stones.
Total area = 4 * 32 square inches
= 128 square inches
Therefore, the area covered by 4 paving stones is 128 square inches. So the correct answer is option D: 128 square inches.