Question

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?

Answer 1

`A=830\ ft^2`

Explanation:

Given that,

The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.

We need to find the area of this section of the deck that is shaped like a trapezoid.

The area of a trapezium is given by :

`A=(a+b)/(2)* h`

a = 37 ft, b = 46 ft and h = 20 ft

Put all the values,

`A=(37+46)/(2)* 20\\\\A=830\ ft^2`

So, the area of this section of the deck is equal to
`830\ ft^2`.