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imc

geometry junior

Problem

A rectangle with a diagonal of length is twice as long as it is wide. What is the area of the rectangle?
(A)
(B)
(C)
(D)
Solution
Let's set our length to and our width to . We have our area as and our diagonal: as (Pythagoras Theorem) Now we can plug this value into the answer choices and test which one will give our desired area of . * All of the answer choices have our value squared, so keep in mind that Through testing, we see that So our correct answer choice is
Final answer
B