a trapezoid has one equal base to its height, x, and the other base is twice as long.write the expression for the area of the trapezoid as a common fraction in terms of x.
area = (1/2)(3x)(x) = (3/2)x^2
To find the area of a trapezoid, you can use the formula:
Area = (1/2) * (sum of the bases) * height
In this case, the bases are unequal. Let's call the length of one base, which is equal to the height, "x". The length of the other base is twice as long as x.
Therefore, the expression for the area of the trapezoid in terms of x is:
Area = (1/2) * (x + 2x) * x
Simplifying this expression will give us the correct answer:
Area = (1/2) * (3x) * x
Area = (3/2) * x^2
So, the area of the trapezoid is (3/2) * x^2, which is given as a common fraction in terms of x.