Question

Area of a Trapezoid
Find the area of each.

please help!

Answer 1

area of a trapezoid = 23.46 in²

Explanation:

area of a trapezoid, A = (a + b) /2 * h

where,

a = base

b = base

h = height

by substituting the values in the formula,

A = (3.8 + 10) / 2 * 3.4

= 13.8/2 * 3.4

= 6.9 * 3.4

= 23.46 in²

Answer 2

• Answer:

`\Large{\boxed{\sf Area = 23.46in^2}}`

`\\`

• Explanation:

To find the area of the given tapezoid, we will have to apply the following formula:

`\sf A_(trapezoid) = ((a + b))/(2) * h`

Where:

• a is the length of one side.
• b is the length of the side that is parallel to a.
• h is the height.

`\\`

`\sf \Large{\sf Given \text{:} \begin{cases} \sf a &=\sf 3.8in \\ \sf b &=\sf 10in \\ \sf h &= \sf 3.4in \end{cases} }`

`\\`

If we substitute our values into the formula, our final answer is:

`\sf A_(trapezoid) = \left( (3.8 + 10)/(2) \right)in * 3.4in = 6.9in * 3.4in = \boxed{\boxed{\sf 23.46in^2}}`