16Hit1600
Advanced MathVery hardPerimeter of a rectangle from its area and diagonal

Advanced Math practice question

A rectangle has an area of 60 square units and a diagonal of length 13 units. What is the perimeter of the rectangle?

Answer: 34

With sides l and w: lw = 60 and l² + w² = 169. Then (l + w)² = 169 + 120 = 289, so l + w = 17 and the perimeter is 34. (The sides are 5 and 12.)

Common wrong answers

If you answered 17
17 is l + w, half the perimeter.
If you answered 26
26 is twice the diagonal.
If you answered 289
289 is (l + w)².

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