Candace needs to find the height of a trapezoid. She already knows the area of the trapezoid. She knows that the formula for finding the area of a trapezoid is
A = 1 (b1 + b2)h.
2
Which equation shows how she can rewrite this formula to help her find the height of the trapezoid?
Responses
A
h = (b1 + b2)
2A
h = ( b 1 + b 2 ) 2 A
B 2A(b1 + b2) = h2 A ( b 1 + b 2 ) = h
C
h = 2A
(b1 + b2)
h = 2 A ( b 1 + b 2 )
D 2(b1 + b2) = h
C
h = 2A
(b1 + b2)
h = 2 A ( b 1 + b 2 )
The correct equation to help her find the height of the trapezoid is option C: h = 2A / (b1 + b2).
The equation that shows how Candace can rewrite the formula to help her find the height of the trapezoid is option C.
The formula for finding the height of a trapezoid is given as:
A = (1/2)(b1 + b2)h
To find the height (h), we need to isolate it on one side of the equation.
Step 1: Multiply both sides of the equation by 2 to get rid of the fraction:
2A = (b1 + b2)h
Step 2: Divide both sides of the equation by (b1 + b2) to solve for h:
h = 2A / (b1 + b2)
Therefore, the correct equation is:
h = 2A / (b1 + b2), which corresponds to option C.