the area of a triangle can be determined by using the formula A= 1/2bh, where b is the length of the base, and h is the length of the height. Determine the area of a triangle with a base which is 7x to the 2nd power and a height which is 8x feet.

area = 1/2 (7x^2)(8x) = 28x^3

To determine the area of a triangle using the formula A = 1/2bh, you need to substitute the values of the base (b) and the height (h) into the formula and perform the necessary calculations.

In this case, the base of the triangle is given as 7x^2 (7 times x raised to the power of 2), and the height is 8x feet.

So, substitute these values into the area formula:

A = 1/2 * (7x^2) * (8x)

Next, simplify the expression:

A = 1/2 * 7 * x^2 * 8 * x

A = 1/2 * 56 * x^3

A = 28x^3

Therefore, the area of the triangle with a base of 7x^2 and a height of 8x is 28x^3.