Question

Please help!!!! will mark brainlest

Answer 1

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=$\frac{h(b_{1} +b_{2}) }{2}$

h=10 in-6 in

h=4 in

$b_{1} =15 in$

$b_{2} =15 in-5 in$

$b_{2} =10 in$

Area of trapezoid=$\frac{4in(7 in+10in)}{2}$

Area of trapezoid=$\frac{4(17in^{2}) }{2}$

Area of trapezoid=$\frac{68in^{2} }{2}$

Area of trapezoid=$34in^{2}$

Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²