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Explanation

For the given question:

Question 4

The area of the trapezoid is 150 square meters

The bases are 14 meters and 16 meters

The height of the trapezoid will be obtained using the formula

[tex]\begin{gathered} A=\frac{1}{2}(b+c)\times h \\ \text{where} \\ A=\text{ area of trapezoid} \\ b,c=\text{ bases of the trapezoid} \\ h=\text{height of the trapezoid} \end{gathered}[/tex]

Substituting these values into the formula , we will obtain

[tex]\begin{gathered} 150=\frac{1}{2}(14+16)\times h \\ \\ 150=\frac{1}{2}(30)h \\ \\ 150=15h \end{gathered}[/tex]

To get h, we will divide both sides by 15

[tex]\begin{gathered} h=\frac{150}{15} \\ \\ h=10\text{ meters} \end{gathered}[/tex]

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