The area of a triangle is 2x^2+5x+3. The height is 4x+6. Determine the base of the triangle.

Answer 1

recall that area of triangle is given by:
A = (1/2)*bh
where
A = area, b = base, and h = height.
substituting,
2x^2 + 5x + 3 = (1/2)*(4x+6)*b
we do factoring:
2x^2 + 5x + 3 = (1/2)*2*(2x+3)*b
(2x+3)*(x+1) = (2x+3)*b
then we divide both side by 2x+3. therefore,
b = x+1

hope this helps~ :)

Answer 2

The height of a triangle is 4x + 5 inches and its base is equal to its height. Find its area.