Q:

What is the area, in square inches, of the figure shown here?25 POINTS PLEASE HELP A parallelogram with a height of 2 inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 2 inches, which is the base of the triangle formed by the division. 10 in2 14 in2 16 in2 20 in2

Accepted Solution

A:
Answer:B.[tex]14in^{2}[/tex]Step-by-step explanation:Solve this by using one of two methods.Split up into different shapes:This method uses the sum of the areas of a rectangle and two triangles to find the area of the parallelogram:[tex]A=(b*h)_{rectangle} +2*(0.5*b*h)_{triangle} \\A=(5*2)+2(0.5*2*2)\\A=10+4\\A=14in^{2}[/tex]Use Parallelogram formula:This formula is the same as the formula for a rectangle where you multiply the base by the height. [tex]A=b*h\\A=(5+2)*2\\A=14in^{2}[/tex]