Question

Find the area of the trapezoid!!!! PLEASE HELP!!!!

64 ft^2

54✔️3 ft^2

32✔️3 ft^2

48✔️3 ft^2

Answer 1

`32 √(3) {ft}^(2)`

Step-by-step explanation

The area of a tra-pezoid is half times sum of the bases times the vertical height.

From the diagram ( see attachment) we use the Pythagoras Theorem to obtain,

`{x}^(2) + {(4 √(3)) }^(2) = {8}^(2)`

`{x}^(2) + 48 = 64`

`{x}^(2) = 64 - 48`

`{x}^(2)=16`

`x = √(16) = 4ft`

This implies that , y=10-4=6ft

The area of tra-pezoid

`= (1)/(2) (10 + 6) * 4 √(3)`

`= (1)/(2) (16) * 4 √(3)`

`= 8* 4 √(3)`

`= 32 √(3) {ft}^(2)`