Question

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

Answer 1

Answer: The answer is 14 in2

Answer 2

B.
`14in^(2)`

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:

`A=(b*h)_(rectangle) +2*(0.5*b*h)_(triangle) \\A=(5*2)+2(0.5*2*2)\\A=10+4\\A=14in^(2)`

Use Parallelogram formula:

This formula is the same as the formula for a rectangle where you multiply the base by the height.

`A=b*h\\A=(5+2)*2\\A=14in^(2)`