Find the perimeter and the area of the figure.(assume right angles and parallel sides except we’re obviously otherwise)Simplify your answer and round to the nearest TENTH.

Find the perimeter and the area of the figureassume right angles and parallel sides except were obviously otherwiseSimplify your answer and round to the nearest class=

Respuesta :

Given:

The length of the parallel sides,

a=17.4 m

b=44.1 m

The height, h=23.5 m

The measurements of the other two sides are,

c=27.5m and d=26.6m.

To find the area of the trapezium:

Using the formula,

[tex]\begin{gathered} A=\frac{1}{2}\times(a+b)\times h_{} \\ =\frac{1}{2}\times(17.4+44.1)\times23.5 \\ =\frac{1}{2}\times61.5\times23.5 \\ =722.625\text{ square meters} \end{gathered}[/tex]

Hence, the area of the figure is 722.6 sq. m (rounded to the nearest tenth).

To find the perimeter of the trapezium:

[tex]\begin{gathered} P=a+b+c+d \\ =17.4+44.1+27.5+26.6 \\ =115.6\text{ m} \end{gathered}[/tex]

Hence, the perimeter of the figure is 115.6 m.

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