Question

The area of a trapezoid is A = -h(b + B). Solve the formula 2 base B is 15 feet? for the height h. What is the height if the area is 200 square feet, the length of the smaller base b is 10 feet, and the length of the larger

Answer 1

Answer: 8 feet

Explanation:

To solve the formula for the height h when the area A is given as 200 square feet, the length of the smaller base b is 10 feet, and the length of the larger base B is 15 feet, you can use the given formula and rearrange it as follows:

A = -h(b + B)

We want to solve for h, so isolate h on one side of the equation. First, divide both sides of the equation by -(b + B):

A / -(b + B) = h

Now, substitute the given values:

A = 200 square feet

b = 10 feet

B = 15 feet

A / -(10 + 15) = h

Now, calculate the denominator:

10 + 15 = 25

So, the formula for the height h is:

h = A / -(25)

Now, plug in the values:

h = 200 / -(25)

h = -8

The height h is -8 feet. However, it's important to note that height should be a positive value in the context of geometry, so we take the absolute value:

| h | = 8 feet

So, the height of the trapezoid is 8 feet.