Question

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

Answer 1

Answer:

782yd^2 is correct.

Step-by-step explanation:

Answer 2

Answer:

$A=782\ yd^2$

Step-by-step 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

$A=\frac{1}{2}(23)(17)$

$A=195.5\ yd^2$

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

$A=\frac{1}{2}(D_1)(D_2)$

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

$A=\frac{1}{2}(46)(34)$

$A=782\ yd^2$