Area of Compound Figures

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Questions and Answers

What is the area, in square meters, of the composite figure, which includes a rectangle (3m x 5m) and a smaller rectangle (2m x 3m) with a small overlap of 1m x 1m?

  • "20"
  • "21"
  • "22" (correct)
  • "23"

A composite figure is formed by combining a rectangle measuring 5m by 3m and another rectangle measuring 2m by 3m. These rectangles share a side of 3m. What is the total area of the figure?

  • "15 square meters"
  • "21 square meters" (correct)
  • "30 square meters"
  • "27 square meters"

Consider a shape formed by a 3m x 5m rectangle attached to a 1m x 2m rectangle such that the 2m side is adjacent to one of the 3m sides of the larger rectangle. What is the combined area?

  • "17 square meters" (correct)
  • "21 square meters"
  • "23 square meters"
  • "19 square meters"

What is the area of a compound shape consisting of a 3m x 3m square attached to a 3m x 2m rectangle along one of its sides?

<p>&quot;15 square meters&quot; (D)</p> Signup and view all the answers

A figure consists of two rectangles: one is 2m x 3m and the other is 3m x 5m. If they are joined perfectly by a 3m side, what is the composite area in square meters?

<p>&quot;21&quot; (C)</p> Signup and view all the answers

A shape is made up of a 3m x 5m rectangle. A 1m x 2m rectangle is removed from a corner. What is the area of the remaining shape?

<p>&quot;13 square meters&quot; (D)</p> Signup and view all the answers

If you combine a 3m x 5m rectangle and a 2m x 3m rectangle, with a 1m x 1m overlap between them, what is the total area of the resulting shape?

<p>&quot;20 square meters&quot; (C)</p> Signup and view all the answers

Calculate the area of a figure consisting of a 3m x 5m rectangle with an adjacent 2m x 3m rectangle, where they share a 3m side.

<p>&quot;21 square meters&quot; (B)</p> Signup and view all the answers

A compound figure comprises a 3m x 5m rectangle. Attached to it is a 2m x 3m rectangle along the 5m side. Compute the total surface area.

<p>&quot;21 square meters&quot; (B)</p> Signup and view all the answers

Suppose a figure is made of a 3m x 5m rectangle with a 1m x 2m rectangle cut out. The 2m side is parallel to the 5m side. What is the area of the remaining figure?

<p>&quot;13 square meters&quot; (B)</p> Signup and view all the answers

A figure is a 3m x 5m rectangle from which a rectangle of 1m x 2m has been removed. Calculate the area of the remaining shape.

<p>&quot;13 square meters&quot; (B)</p> Signup and view all the answers

Two rectangles are joined to form an L-shape. One is 3m x 5m and the other is 2m x 3m. What is the area of the L-shape?

<p>&quot;21 square meters&quot; (D)</p> Signup and view all the answers

What is the area of a figure composed of a rectangle (3m x 5m) and a smaller rectangle (2m x 3m) placed side-by-side, sharing the 3m side?

<p>&quot;21 square meters&quot; (B)</p> Signup and view all the answers

If a composite shape is made up of a 3m x 5m rectangle and a 2m x 3m rectangle, with the 2m side of the small rectangle on top of the 5m side of the large rectangle, what is the combined area?

<p>&quot;21 square meters&quot; (D)</p> Signup and view all the answers

Calculate the total area of a figure made by combining a 3m x 5m rectangle and a 1m x 2m rectangle, where they share a small side of 1m and 2m respectively.

<p>&quot;17 square meters&quot; (B)</p> Signup and view all the answers

What is the area of a composite figure that consists of a 3m x 5m rectangle and a 2m x 3m rectangle that overlap by 1m x 1m?

<p>&quot;20 square meters&quot; (D)</p> Signup and view all the answers

Find the area of a shape comprising a 3m x 3m square and a 2m x 5m rectangle.

<p>&quot;19 square meters&quot; (D)</p> Signup and view all the answers

Imagine a figure with a 3m x 5m rectangular section alongside another rectangular section that measures 2m x 3m. How much area does this figure cover?

<p>&quot;21 square meters&quot; (A)</p> Signup and view all the answers

Assuming a shape has two rectangular parts, one measuring 3m x 5m and another measuring 1m x 2m, what's the total area of that shape?

<p>&quot;17 square meters&quot; (C)</p> Signup and view all the answers

A floor plan includes a rectangular area of 3m x 5m for a living room, which connects to kitchen measuring 2m x 3m. Find total floor area for both.

<p>&quot;21 square meters&quot; (D)</p> Signup and view all the answers

Flashcards

What is a compound figure?

A shape made up of two or more simple shapes

How to find the area of a compound figure?

Divide the compound figure into simpler shapes, find the area of each, then add them together.

Formula for the area of a rectangle?

Area = Length x Width

What is the total area of the compound figure?

The total area is 3m * 5m + 2m * 3m = 15 + 6 = 21 square meters

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Study Notes

Area of Compound Figures

  • The task is to find the area of the compound figure in the image
  • The compound figure is made up of two rectangles
  • To find the area of the purple compound figure, calculate the area of each of the two individual rectangles, then add them together
  • One rectangle has sides of 3 m and 2 m
  • The area of the one rectangle is 6 square meters
  • The other rectangle has sides of 5 m and 3 m
  • The area of the other rectangle is 15 square meters
  • Add the area of both rectangles
  • 6 + 15 = 21
  • The area of the compound figure is 21 square meters

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