What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?

Question

Saige

Mathematics

4 December, 11:13

What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?

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Leslie Frank · Answer 1

Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length) = diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112