|Submited on :||Fri, 9th of Nov 2018 - 19:25:08 PM|
|Post ID :||9vjnj4|
|Post Name :||t3_9vjnj4|
|Post Type :||text|
|Subreddit Type :||public|
|Subreddit ID :||t5_2rdi4|
Draw the rectangle !
Let's call L and h the sides of the rectangle.
What we have is 2*(L+h) = 10 (or L+h = 5).
Now look at your drawing. Your rectangle has right angles. You can build interesting triangles with that (and the diagonal) and use a certain theorem that you probably know.
If you’re going to make variables and an equation, you might as well make both equations:
The second eqn comes from using Pythagorean Theorem on the triangle you get if you slice your rectangle along a diagonal.
Try to find L and H that solve those two equations. (Hint: H = L – 5, and you can use that to rewrite Eqn 2 in terms of just L.)
I didn't want to give the answer directly :<