Question

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

Answer 1

SOLUTION

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

$\text{Area of trapeziod=}\frac{1}{2}(\text{ sum of parallel )height }$

Then

$\begin{gathered} =\frac{1}{2}(48+60)24 \\ =\frac{1}{2}\times(108)\times24 \\ =12\times108 \\ =1296in^2 \end{gathered}$

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

$x=\frac{1296}{16}=81\text{tiles}$

Therefore,

There will be 81 tiles needed to cover the trapezoidal hearth