Question

a) Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)

Answer 1

Answer:

The formula is Area = base+base/2 x height.

Step-by-step explanation:

This means that we need to add both bases, then  divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.

Answer 2

The area of a trapezoid is calculated by the formula = (1/2)*(sum of parallel sides)*(perpendicular distance between them).

The diagram of the window is provided along with the dimensions.

What is a trapezoid? How do we calculate its area?

A trapezoid is a quadrilateral with a necessary one pair of parallel lines.

The area of a trapezoid is calculated by the formula = (1/2)*(sum of parallel sides)*(perpendicular distance between them)

How do we solve the given question?

We are said about the windows on the International Space Station, that its long base is 15.2 feet, the short base is 11.2 feet and the perpendicular height between them is 8.4 feet. By the given information we can say that the given window is of trapezoid shape.

The diagram with dimensions is provided in the solution.

To find the area of the trapezoid we will use the discussed formula,

The area of a trapezoid is calculated by the formula = (1/2)*(sum of parallel sides)*(perpendicular distance between them)

∴ Area = (1/2)*(15.2 + 11.2)*(8.4)

or, Area = 0.5*26.4*8.4 = 110.88 square feet

∴ Area of the window = 110.88 square feet.

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