The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 21 feet and 5 feet long. It has an area of 26 square feet. What is the height of the cross section?

Respuesta :

Answer:

2 feet

Step-by-step explanation:

We are given that

[tex]b_1=21 feet[/tex]

[tex]b_2=5feet[/tex]

Area of trapezoid=26 square ft

We have to find the height of the cross section.

We know that

Area  of trapezoid=[tex]\frac{1}{2}(b_1+b_2)h[/tex]

Using the formula

[tex]26=\frac{1}{2}(21+5)[/tex]

[tex]26=\frac{1}{2}(26)h[/tex]

[tex]h=\frac{26\times 2}{26}=2 feet[/tex]

Hence, the height of cross section =2 feet

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