Question

2 17 The area of the trapezoid below is 420 cm Find the height Round to the nearest tenth if the answer is in decimal form.

Answer 1

Consider that the area of a trapezium is given by,

`\text{Area}=(1)/(2)*(\text{sum of parallel sides)}*\text{ height}`

According to the given problem,

`\begin{gathered} \text{Area}=(17)/(420) \\ \text{Parallel sides=}(2)/(7),\text{ }(1)/(5) \end{gathered}`

Substitute the values and solve for the height as,

`\begin{gathered} (17)/(420)=(1)/(2)*((2)/(7)+(1)/(5))* h \\ (17)/(210)=((17)/(35))* h \\ h=(35)/(210) \\ h=(1)/(6) \\ h\approx0.2 \end{gathered}`

Thus, the height of the trapezium is 0.2 cm approximately.