Question

The area of the trapezoid below is 9.2 cm. Find the height. Round to the nearest tenth if the answer is in decimal form. 6.4 cm 3.2 cm 2.9 cm h

Answer 1

Given:

Area of the trapezoid, A = 9.2 cm^2

Long base, a = 3.2 cm

Short base, b = 2.9 cm

Let's find the height of the trapezoid.

Apply the formula:

`A=(a+b)/(2)\ast h`

Where h is the height.

Substitute values into the equation:

`9.2=(3.2+2.9)/(2)\ast h`

Let's solve for h:

`\begin{gathered} 9.2=(6.1)/(2)\ast h \\ \\ 9.2=3.05\ast h \end{gathered}`

Divide both sides by 3.05:

`\begin{gathered} (9.2)/(3.05)=(3.05\ast h)/(3.05) \\ \\ 3.0=h \\ \\ h=3.0\text{ cm} \end{gathered}`

Therefore, the height of the trapezoid is 3.0 cm

ANSWER:

3.0 cm