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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?
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?
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?
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?
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?
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?
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?
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?
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?
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?
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?
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.
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.
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.
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.
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?
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?
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.
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.
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?
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?
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?
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?
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?
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?
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.
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.
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?
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?
Find the area of a shape comprising a 3m x 3m square and a 2m x 5m rectangle.
Find the area of a shape comprising a 3m x 3m square and a 2m x 5m rectangle.
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?
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?
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?
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?
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.
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.
Flashcards
What is a compound figure?
What is a compound figure?
A shape made up of two or more simple shapes
How to find the area of a compound figure?
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?
Formula for the area of a rectangle?
Area = Length x Width
What is the total area of the compound figure?
What is the total area of the compound figure?
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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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