What is the image of this figure after this sequence of dilations?
1 answer:
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Probably, the formula of Volume for a cone of height 'h' and base area 'b' is :
Answer:
Step-by-step explanation:
We know that the length is four times the width, so:
We also know the area, which is 324 m². The formula for area:
Insert the known values:
Solve for w. Simplify by removing parentheses:
Divide 4 from both sides to isolate the variable:
Find the square root of both sides:
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
Solve for l. Divide both sides by 9:
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
Insert values:
The perimeter is 90 m.
The dimensions of the rectangle given are
length = 14 meters
Width = 8 meters
The perimeter of the rectangle is given by the sum of its sides
The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters
Hence adding up the 4 sides we get
Hence option B is the right answer