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notka56 [123]
3 years ago
6

Please answer number 29 ASAP

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

base: b

height: 5b - 2

Area = 1/2 (b) (h)

36 = 1/2(b) (5b - 2)

72 = b(5b - 2)          <em>multiplied both sides by 2 to clear the denominator</em>

72 = 5b² - 2b

0 = 5b² - 2b - 72

Use quadratic formula to find that b = 4 or -3.6 (disregard the negative) so

b = 4

height: 5b - 2  = 5(4) - 2  = 20 - 2  = 18

Answer: base=4 in, height=18 in


Effectus [21]3 years ago
3 0

h = 5b - 2

\frac 1 2 b h= 36

b(5b - 2) = 72

5b^2 - 2b - 72 = 0

(b - 4)(5b + 18) = 0

b = 4 \textrm{ or }b = -18/5

We can rule out the negative length.

h = 72/b = 72/4 = 18

Answer: b=4, h=18


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