Question

The equation below shows the area of a trapezoid, A, with a height of 9 cm and one base 35 cm. A= 9/2 (b+35). Which of the following formulas correctly solves for the other base?

a. b= 2A/9 −35
b. b= 2A/9 +35
c. 9/2A −35
d. b= 9/2A +35

Answer 1

The formula provided to solve for the other base of a trapezoid is incorrect. There is no specific formula to solve for the other base, as any value of b will satisfy the equation.

Step-by-step explanation:

The formula for the area of a trapezoid is given by A = (1/2)(b1 + b2)(h). In this case, you are given the height (h) as 9 cm and one base (b1) as 35 cm. The formula you provided, A = 9/2(b + 35), is rearranged incorrectly. To solve for the other base (b), we can rearrange the formula as follows:

A = (1/2)(b1 + b2)(h)

9/2(b + 35) = (1/2)(35 + b)(9)

9(b + 35) = (35 + b)(9)

9b + 315 = 315 + 9b

9b - 9b = 315 - 315

0 = 0

Since we end up with 0 = 0, this means that any value of b will satisfy the equation. So, there is no specific formula to solve for the other base (b). Therefore, there is no correct option among the given choices.