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seropon [69]
3 years ago
12

The area of a rhombus is 90 square inches. If the longer diagonal measures 18 inches, what is the length of the shorter diagonal

?
A. 10 inches

B. 12 inches

C. 16 inches

D. 17 inches
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0
10 Inches

A = p q / 2

p = diagonal 1
q = diagonal 2

2A / q = p

Solve for p
180/18 = 10
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\frac{2(5)^2}{5} +5(100-15(5))\\\\  \frac{2*25}{5}+5(100-15(5))\\\\ \frac{50}{5}+5(100-15(5))\\\\ 10+5(100-15(5))\\\\ 10+5(100-75)\\\\ 10+5(25)\\\\ 10+125\\\\ 135\\\\ Final answer: 135\\
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