MATH SOLVE

9 months ago

Q:
# Find the area of the figure. Round to the nearest tenth if necessary.Options:1564 782 391 80

Accepted Solution

A:

Answer:[tex]A=782\ yd^2[/tex]Step-by-step explanation:The area of the figure is equal to the area of four right trianglessoThe area of one right triangle is equal to[tex]A=\frac{1}{2}(23)(17)[/tex][tex]A=195.5\ yd^2[/tex]Multiply by 4[tex]A=(4)195.5=782\ yd^2[/tex]Alternative MethodThe figure is a RhombusThe area of the Rhombus is equal to[tex]A=\frac{1}{2}(D_1)(D_2)[/tex]whereD1 and D2 are the diagonals of the rhombuswe have[tex]D_1=(23+23)=46\ yd\\D_2=(17+17)=34\ yd[/tex]substitute[tex]A=\frac{1}{2}(46)(34)[/tex][tex]A=782\ yd^2[/tex]