Question

1. ema cut three rectangles from wood for a birdhouse. how do their areas compare? explain.

rectangle a: 4 ft (length) and 4 ft (width)
rectangle b: 8 ft (length) and 2 ft (width)
rectangle c: 16 ft (length) and 1 ft (width)

1. how can you find the area of the rectangle? explain. what is the area?

(there is a grid - like image for the rectangle in question 14)

Explanation:

Question 13

Step1: Calculate Area of Rectangle A

The formula for the area of a rectangle is \( \text{Area} = \text{length} \times \text{width} \). For Rectangle A, length = 4 ft and width = 4 ft. So, \( 4 \times 4 = 16 \) square feet.

Step2: Calculate Area of Rectangle B

For Rectangle B, length = 8 ft and width = 2 ft. Using the area formula, \( 2 \times 8 = 16 \) square feet.

Step3: Calculate Area of Rectangle C

For Rectangle C, length = 16 ft and width = 1 ft. Using the area formula, \( 1 \times 16 = 16 \) square feet.

Step4: Compare the Areas

All three rectangles have an area of 16 square feet. So, their areas are equal.

Step1: Determine Length and Width

To find the area of a rectangle, we first need to determine its length and width. If the rectangle is on a grid, we can count the number of grid squares along the length and the width. Let's assume (from typical grid problems) that the length is \( l \) (number of squares along the longer side) and width is \( w \) (number of squares along the shorter side).

Step2: Apply Area Formula

The formula for the area of a rectangle is \( \text{Area} = l \times w \). Multiply the length and the width to get the area.

Step3: Example Calculation (if grid has length 8 and width 3)

Suppose the length of the rectangle is 8 grid units and the width is 3 grid units. Then, \( \text{Area} = 8 \times 3 = 24 \) square units (or square feet, inches, etc., depending on the grid scale).

Answer:

The areas of Rectangle A, Rectangle B, and Rectangle C are equal (each is 16 square feet) because when we calculate the area of each rectangle using the formula \( \text{Area} = \text{length} \times \text{width} \), we get \( 4\times4 = 16 \), \( 2\times8 = 16 \), and \( 1\times16 = 16 \) square feet.

Question 14 (Assuming the rectangle on the grid has length and width that can be determined by counting grid squares. Let's say from the grid, the length is, for example, 8 units and width is 3 units. We'll use a general approach here.)