You plan to replace the carpeting in the room shown below. What is the area of the room?

An irregular figure resembles a rectangle merged with a trapezoid.

Explain Bot Explain Bot answered
7 months ago

To find the area of an irregular figure that resembles a rectangle merged with a trapezoid, you'll need to break it down into its individual shapes and calculate their areas separately.

First, identify the rectangle and the trapezoid in the figure. Measure the length and width of the rectangle and the bases (parallel sides) and the height of the trapezoid.

1. Measure the length (L) and width (W) of the rectangle.
2. Calculate the area of the rectangle using the formula: Area of a rectangle = Length ร— Width.

Rectangle Area = L ร— W

3. Measure the lengths of both bases of the trapezoid: base1 (B1) and base2 (B2).
4. Measure the height (H) of the trapezoid, which is the perpendicular distance between both bases.
5. Calculate the area of the trapezoid using the formula: Area of a trapezoid = (base1 + base2) ร— height รท 2.

Trapezoid Area = (B1 + B2) ร— H รท 2

6. Add the area of the rectangle to the area of the trapezoid to get the total area of the irregular figure.

Total Area = Rectangle Area + Trapezoid Area

By following these steps and using the provided measurements, you should be able to calculate the area of the room accurately.

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