Quadrilateral ABCD is a kite. If AD=AB, find AD A. 5/3 B. 7 C. 5/7 D. 22

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

5 0

AD = AB

AD = 2r+8
AB = 5r-13

we need to find the value of r to find the total length

so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
now we know r, so replace r with 7 in the equation for AD

AD = 2r+8 = 2(7) +8 = 14 +8 = 22

the answer is D. 22

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