Area and Perimeter of Similar Figures

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Explanations 1

The Area of a Square Postulate (this postulate actually has no universal name) states that the area of a square is equal to the product of the side length with itself. Suppose t…
By Sujay Kazi

Problems 9

Let ABCABCABC be a right triangle with a right angle at CCC. Two lines, one parallel to ACACAC and the other parallel to BCBCBC, intersect on the hypotenuse ABABAB. The lines sp…
Triangle A has sides of lengths 3, 4, and 5. Triangle B is similar to triangle A and has an area of 24. What is the length of the longest side of triangle B?
A square □ABCD\square ABCD□ABCD has midpoints E,F,G,HE,F,G,HE,F,G,H, respectively. What is the ratio of EF‾\overline {EF}EF to AB‾\overline {AB}AB?
Expii's engineers are working late into the night and are ordering pizza. Carl's Pizza has a medium 16-inch pizza or a large 18-inch pizza. How much more pizza is in the 18-inch…
To compare this with today's technology, suppose that we can build a version 50 meters in diameter, with a 1-meter-wide exhaust port. If we used this level of technology to powe…
You have a large cubical box which contains 1000 cubical chocolates, arranged in a 10x10x10 grid pattern, each in an individual box. You have to decide if you want to wrap the l…
How many times more powerful is the radiation intensity at a distance equal to a palm's width, versus the radiation intensity at a distance equal to an arm's length?
If triangle ABC and triangle DEF are similar, and side A has length 555 while side D has length 101010, if the area of triangle ABC is 10, what is the area of DEF?
If triangle ABC and triangle DEF are similar, and side A has length 444 while side D has length 121212, if the area of triangle ABC is 888, what is the area of DEF?