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Diagram illustrating two adjacent rectangles with given dimensions and areas for area calculation.

A geometric diagram showing two rectangles with labeled dimensions and areas: a larger rectangle (ABCD) with area 234 square inches and a smaller rectangle (EFGD) with area 104 square inches, connected at point D.

A geometric diagram showing two rectangles with labeled dimensions and areas: a larger rectangle (ABCD) with area 234 square inches and a smaller rectangle (EFGD) with area 104 square inches, connected at point D.

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Show Answer Key & Explanations Step-by-step solution for: How to find the area of irregular shapes | Worsheets library
Explanation:
We are given a shape made up of two rectangles. We need to find the total area of the entire figure.

First, look at the top rectangle.
We are told its area is 234 square inches.
We also know its length is 18 inches.
We can use the formula for area of a rectangle:
Area = length × width
So, 234 = 18 × width
To find the width, divide 234 by 18:
234 ÷ 18 = 13
So the width of the top rectangle is 13 inches.

Now, look at the bottom rectangle.
We are told its area is 104 square inches.
We also know its width is 8 inches.
Use the same formula:
Area = length × width
104 = length × 8
To find the length, divide 104 by 8:
104 ÷ 8 = 13
So the length of the bottom rectangle is 13 inches.

Now, notice that both rectangles have a width of 13 inches.
This makes sense because the top rectangle has a height of 13 inches (from the calculation), and the bottom rectangle has a width of 13 inches.
The total area of the whole figure is the sum of the two areas:
234 + 104 = 338 square inches.

Final Answer:
338 square inches
Parent Tip: Review the logic above to help your child master the concept of area perimeter irregular shapes worksheet.
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