Question

What is the area of the figure? Answer in decimal form to the nearest hundredth.

A trapezoid has a base of 7 and one-half meters, height of 5.5 meters, and top side length of 5.5 meters.

Answer 1

35.75 m²

Explanation:

Area of trapezoid

= ½ × (sum of parallel sides) × h

= ½ (7.5 + 5.5) × 5.5

= 35.75

Answer 2

35.75 meters squared

Explanation:

The area of a trapezoid is denoted by:
`A=((b_1+b_2)*h)/(2)` , where b_1 and b_2 are the bases and h is the height.

Here, the two bases are 7 1/2 and 5.5 meters and the height is 5.5. So, just plug in the values:

`A=((7(1)/(2)+5.5)*5.5 )/(2)`

7 1/2 is the same as 7.5:
`A=((7.5+5.5)*5.5 )/(2)=((13)*5.5)/(2) =35.75`

Thus, the area is 35.75 meters squared.

Hope this helps!