Question

I brought the answer down I just need you to work it out for me please and thank you

Answer 1

QUestion 8

From the question, we have the foloowing dimentions given

`\begin{gathered} \text{height}=24\text{inches } \\ \text{base}=48\text{inches, 60 inches } \end{gathered}`

Find the area of the trapeziod, we have

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

Then

`\begin{gathered} =(1)/(2)(48+60)24 \\ =(1)/(2)*(108)*24 \\ =12*108 \\ =1296in^2 \end{gathered}`

The area of the trapezoid is

`1296in^2`

Since

`\begin{gathered} 16in^2=1\text{tile } \\ \text{Then} \\ 1296in^2=x\text{ tile } \end{gathered}`

Hence

`x=(1296)/(16)=81\text{tiles}`

Therefore,

There will be 81 tiles needed to cover the trapezoidal hearth