Questions: The area of the composite figure is 43 square units. Draw one or more lines to partition area of the composite figure. 1. 2. area = + ar = square units

The area of the composite figure is 43 square units. Draw one or more lines to partition area of the composite figure. 1. 2. area = + ar = square units
Transcript text: The area of the composite figure is 43 square units. Draw one or more lines to partition area of the composite figure. 1. 2. area $=$ $\qquad$ $+$ $\qquad$ ar $=$ $\qquad$ square units
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Solution

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Solution Steps

Step 1: Divide the figure into two rectangles

We can divide the given L-shaped figure into two rectangles. One rectangle has dimensions 3 by 11 (the bottom portion). The other rectangle has dimensions 5 by (11-6) = 5 by 5 (the top right portion).

Step 2: Calculate the area of the first rectangle

The area of the first rectangle is length times width, which is \(3 \times 11 = 33\) square units.

Step 3: Calculate the area of the second rectangle

The area of the second rectangle is length times width, which is \(5 \times 5 = 25\) square units. (It should be \(5 \times (11-6) = 5 \times 5 = 25\)). The problem incorrectly states that the small section is \(2 \times 5=10\), but it should be \(5 \times 2\) since \(11 - 6 = 5\).

Final Answer

The area is \(33+25=58\) square units.

\\( \boxed{58} \\)

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