Each vertex of the polygon shown below forms a right angle. The side measurements given are inches. What is the area of the figure?

Given:

Given that each vertex of the polygon forms a right angle.

The measurements of the sides of the polygon were given.

We need to determine the area of the polygon.

Let us divide the polygon into 3 rectangles.

Area of the rectangle can be determined using the formula,

Area of rectangle 1:

The length of rectangle 1 is 17 inches.

The width of rectangle 1 is 8.5 inches.

The area of rectangle 1 is given by

Area of rectangle 2:

The length of rectangle 2 is 16.5 inches.

The width of rectangle 2 is (17 - 9) = 8 inches.

The area of rectangle 2 is given by

Area of rectangle 3:

The length of rectangle 3 is 13 inches.

The width of rectangle 3 is 11 inches.

The area of rectangle 3 is given by

Area of the polygon:

The area of the polygon can be determined by adding the areas of the three rectangles.

Thus, we have;

Thus, the area of the figure is 419.5 square inches.

Hence, Option B is the correct answer.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.