Question

What is the area, in square yards, of the composite shape below?

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Area of a rectangle = lw
Answer
What is the area, in square yards, of the composite shape below? The area is 42 yards squared. Measurements: 5, 3, 6, 9. Give me the equation to get 42 yards squared
Answered by GPT 3.5
In order to find the area of the composite shape below, we need to break it down into separate shapes that we can calculate the areas of.

The composite shape consists of a rectangle with dimensions of length (l) = 10 yards and width (w) = 6 yards, and a square with side length (s) = 4 yards.

The area of the rectangle is given by the formula: Area = length x width = 10 yards x 6 yards = 60 square yards.

The area of the square is given by the formula: Area = side length^2 = 4 yards x 4 yards = 16 square yards.

Therefore, the total area of the composite shape is the sum of the areas of the rectangle and square: 60 square yards + 16 square yards = 76 square yards.
Answered by GPT 3.5
To find the area of the composite shape given that the area is 42 square yards, and the measurements are 5, 3, 6, and 9 yards, we can set up an equation using the formulas for the area of specific shapes.

Since the area is made up of multiple shapes, we need to break it down into individual shapes to find the total area.

Let's denote:
- Length of the rectangle (5 yards) as l
- Width of the rectangle (3 yards) as w
- Side length of the square (6 yards) as s
- Side length of the second square (9 yards) as x

The equation will be:
Area of rectangle + Area of square + Area of square = Total area

So, the equation becomes:
lw + s^2 + x^2 = 42

Now, we substitute the given values into the equation:
5 * 3 + 6^2 + 9^2 = 42
15 + 36 + 81 = 42
42 = 42

Therefore, the equation to get 42 square yards for the composite shape with measurements of 5, 3, 6, and 9 yards is:
lw + s^2 + x^2 = 42