Answer: B. 84 in²
Step-by-step explanation:
Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).
Find the area of the rectangle:
Area of a rectangle=length*width
Area of rectangle=(5 in)( 10 in)
Area of rectangle=50 in²
Next, calculate the area of the trapezoid:
Area of trapezoid=[tex]\frac{h(b_{1} +b_{2}) }{2}[/tex]
h=10 in-6 in
h=4 in
[tex]b_{1} =15 in[/tex]
[tex]b_{2} =15 in-5 in[/tex]
[tex]b_{2} =10 in[/tex]
Area of trapezoid=[tex]\frac{4in(7 in+10in)}{2}[/tex]
Area of trapezoid=[tex]\frac{4(17in^{2}) }{2}[/tex]
Area of trapezoid=[tex]\frac{68in^{2} }{2}[/tex]
Area of trapezoid=[tex]34in^{2}[/tex]
Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²
