Question

Find the area of the figure. Round to the nearest tenth if necessary.

Options:

1564

782

391

80

Answer 1

782yd^2 is correct.

Explanation:

Answer 2

`A=782\ yd^2`

Explanation:

The area of the figure is equal to the area of four right triangles

so

The area of one right triangle is equal to

`A=(1)/(2)(23)(17)`

`A=195.5\ yd^2`

Multiply by 4

`A=(4)195.5=782\ yd^2`

Alternative Method

The figure is a Rhombus

The area of the Rhombus is equal to

`A=(1)/(2)(D_1)(D_2)`

where

D1 and D2 are the diagonals of the rhombus

we have

`D_1=(23+23)=46\ yd\\D_2=(17+17)=34\ yd`

substitute

`A=(1)/(2)(46)(34)`

`A=782\ yd^2`