Question

5. Trapezoid = A quad with a pair of parallel sides (paralle never meet). Area or A = h(t + b)/2 with h = height and t, b are the parallel sides. a. Find A if t = 17, b = 33 and h = 14. b. Find A if h = 16.3, t = 15.7 and b = 19.6 c. Find h if A = 72, t = 7, and b = 9

Answer 1

We are given that the Area of the Trapezoid =

`\begin{gathered} A\text{ = }\frac{h\text{ }}{2}(t+b)\text{ } \\ \text{where h = height } \\ t\text{ , b are the parallel sides} \end{gathered}`

Step 1 : Find A if t = 17, b = 33 and h = 14.

`\begin{gathered} A\text{ = }(14)/(2)(\text{ 17 + 33 )} \\ \text{ = 7 ( 50 ) } \\ \text{ = 350 square units.} \end{gathered}`

Step 2 : Find A if h = 16.3, t = 15.7 and b = 19.6

`\begin{gathered} A\text{ = }\frac{16.\text{ 3}}{2}\text{ ( 15.7 + 19.6 )} \\ =\text{ }(16.3)/(2)\text{ ( 35.3)} \\ =\text{ 287. 695 square units} \end{gathered}`

Step 3 : Find h if A = 72, t = 7, and b = 9​

`\begin{gathered} A\text{ = }(h)/(2)\text{ ( t + b )} \\ 2\text{ A = h ( t + b ) } \\ h\text{ = }\frac{2A\text{ }}{t\text{ + b}} \\ h\text{ = }\frac{2\text{ X 72}}{7\text{ + 9}} \\ h\text{ = }(144)/(16) \\ h\text{ = 9} \end{gathered}`