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Nesterboy [21]
3 years ago
5

A rectangle is drawn so the width is 5 inches longer than

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}

l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}

clearly,

      l_{2} \ is \ a \ negative\ number

So we consider

l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83

Therefore height = 22.8inches

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