Answer:
Length of base is 17.2
Step-by-step explanation:
Area of triangle is (1/2)bh
Base is x+4
Area = 35sq ft
Height= x
35 = (1/2)bh
35 = (1/2)(x+4)x
35 = [(x+4)x]/2
Cross multiply
2 x35 = [(x+4)x]
70 = x^2+4x
0 = x^2+4x-70
Using quadratic formula
X= (-b_+sqrtb^2-4ac)/2a
b= 4
a=1
c=-70
X = (-4_+sqrt4^2-4(1)(-70)/2(1)
X= (-4_+sqrt16+280)/2
X= (-4_+sqrt296)/2
X = (-4_+17.2046505341)/2
X= (-4-17.2046505341)/2, (-4+17.2046505341)/2,
X = -21.2046505341, 13.2046505341
To the nearest tenth
X= -21.2 , 13.2
Length can not be negate so we disregard -21.2
Height is 13.2
Base is x+4 = 13.2 + 4 = 17.2
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