Answer:
b = 4 inches and h = 14 inches
Step-by-step explanation:
Given that,
The area of a triangle, A = 28 sq inches
Height is twice less than 4 times the base.
H = 4b-2, b is base
We know that,
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches[/tex]
Base = 4 inches
Height = 4(4)-2
= 14 inches
Hence, this is the required solution.
