Question

What is the area of the trapezoid to the nearest tenth?

Answer options: 76.7, 41.9, 65.0, 62.4

Answer 1

choice d is correct.

Explanation:

we have given trapezoid

we have to find the area of trapezoid

we find the area of trapezoid by adding the area of triangle and area of rectangle

calculating the base of triangle as follow :

cos(60) = b / 8

b = cos (60) × 8

b = 4

The height is:

sin( 60 ) = h / 8

h = sin ( 60 ) ×8

h = 6.93

The area of trapezoid is :

A = 4 ft × 6.93 /2 + ( 6.93 ft × 7 ft)

A = 62.4 ft² is the area of trapezoid.

Answer 2

Answer: LAST OPTION.

Explanation:

You can calculate the area of the trapezoid by adding the area of the triangle and the area of the rectangle:

Calculate the base of the triangle as following:

`cos(60)=b/8\\b=8*cos(60)=4`

The height is:

`sin(60)=h/8\\h=8*sin(60)=6.93`

Then the area of the trapezoid is:

`A=(4ft*6.93)/(2)+(6.93ft*7ft)=62.4ft^(2)`