SOLUTION: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
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-> SOLUTION: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
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Question 90292This question is from textbook Beginning Al
: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Thanks for the help! This question is from textbook Beginning Al
You can put this solution on YOUR website! Hello there,
Denote:
Width = w
Length = 1 + w
A rectangle can form two isosceles triangles, so we can use the Pythagorean Theorem to find the length and width.
a^2 + b^2 = c^2
w^2 + (w + 1)^2 = 4^2
2w^2 + 2w + 1 = 16
2w^2 + 2w - 15 = 0
Find w, and plug them into the short equations for width and length. There you are.
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