I just got finished taking the test. I was confused with the previous answer. I didnt know if the answer was 170 or 141.74. I got an 80, the answer was 141.74, just clearing that up.
-Steel Jelly
The area of the trapezoid is the half of the product of the height and sum of the bottom base and top base. The area of the backyard without the garden is 141.74 squared meter.
Mr. Hernandez's backyard is shaped like a trapezoid.
The height of the backyard is 10 m.
The top base of the backyard is 15 m.
The bottom base of the backyard is 15 m.
The area of the trapezoid is the half of the product of the height and sum of the height and base and top.
Thus the area of the trapezoid backyard is,
[tex]A_b=\dfrac{(15+19)}{2} \times10[/tex]
[tex]A_b=17\times10[/tex]
[tex]A_b=170[/tex]
Thus the area of the backyard is 170 squared meter.
The area of the circle is the product of the pi and square of the radius.
Thus the area of the 3 m radius garden is,
[tex]A_g=3.14\times3^2[/tex]
[tex]A_g=28.26[/tex]
The area of the backyard without the garden is the area of the total background substract with the area of the circular garden. Thus,
[tex]A=170-28.26\\ A=141.74[/tex]
Thus the area of the backyard without the garden is 141.74 squared meter.
Learn more about the area of the trapezoid here;
https://brainly.com/question/397536
