Question

Please answer number 29 ASAP

Answer 1

$h = 5b - 2$

$\frac 1 2 b h= 36$

$b(5b - 2) = 72$

$5b^2 - 2b - 72 = 0$

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

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

We can rule out the negative length.

$h = 72/b = 72/4 = 18$

Answer: b=4, h=18

Answer 2

base: b

height: 5b - 2

Area = 1/2 (b) (h)

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

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

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