Chapter 11.6, Problem 36HP

To determine

To find: calculations for area of trapezoid

Answer to Problem 36HP

Lydia is correct

Explanation of Solution

Given information:

Calculations for area of trapezoid according to Cameron and Lydia

According to Cameron,

  $\begin{array}{l}A=\frac{1}{2}\times 2\times (3\times 5.2)\\ =15.6m^2\end{array}$

According to Lydia,

  $\begin{array}{l}A=\frac{1}{2}\times 2\times (3+5.2)\\ =8.2m^2\end{array}$

Calculation:

  

Area of trapezium $=\frac{1}{2}$ $\times$ (sum of opposite sides) $\times$ (height)

Sum of sides $=3+(3+2.2)=3+5.2$

Height $=2cm$

So,

Area of trapezium $=\frac{1}{2}\times (3+5.2)\times (2)$

  $\begin{array}{l}=\frac{1}{2}\times (8.2)\times (2)\\ =8.2m^2\end{array}$

So, Lydia is correct