Answer:
It is given that,
The garden is in the shape of a trapezoid
From the given figure,
The length of the bottom of the trapezoid,
[tex]=10-(-10)[/tex][tex]=10+10=20[/tex]The length of the bottom of the trapezoid is 20 feet
The length of the top of the trapezoid is,
[tex]=6-(-6)=12[/tex]The length of the two parallel sides of the trapezoid are 20 feet and 12 feet.
To find the height of the trapezoid
Height of the trapezoid is,
[tex]=2-(-4)=2+4=6[/tex]Height of the trapezoid is 6
To find the area of the trapezoid
we know that,
Area of the trapezoid is
[tex]=\frac{1}{2}\times(a+b)\times(h)[/tex]where a and b are the paralell sides of the trapezoid and h is the height of the trapezoid.
Substitute the values we get,
Area of the trapezoid is
[tex]=\frac{1}{2}\times(20+12)\times6[/tex][tex]=\frac{1}{2}\times32\times6=96[/tex]Area of the trapezoid is 96 feet.
