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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

Respuesta :

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]

Ver imagen jessicapieterse

Answer: The answer is 14 in2