The height of a triangle is 4x + 5 inches and its base is equal to its height. Find its area.
area = (1/2)(4x+5y)(4x+5y)
= (1/2)(16x^2 + 40xy + 25y^2) or 8x^2 + 20xy + 25y^2 /2
To find the area of a triangle, we will use the formula:
Area = (base * height) / 2
In this case, the base is equal to the height, which is 4x + 5 inches.
So, we can substitute the values into the formula:
Area = (4x + 5) * (4x + 5) / 2
Now, let's simplify the expression step by step:
Area = (16x^2 + 40x + 25) / 2
= 8x^2 + 20x + 12.5
Therefore, the area of the triangle is 8x^2 + 20x + 12.5 square inches.