Question

find the area of each rectangle. what is the area of rectangle 1? area = length × width. rectangle 1 36 m², rectangle 2 90 m², rectangle 3 ? m², total area m². (diagram with dimensions: 12 m, 6 m, 6 m, 15 m, 9 m, 6 m, 15 m)

Explanation:

Step1: Recall the area formula for a rectangle

The formula for the area of a rectangle is \( A = \text{length} \times \text{width} \).

Step2: Identify the length and width of Rectangle 3

For Rectangle 3, the length is 9 m and the width is 6 m.

Step3: Calculate the area of Rectangle 3

Using the formula \( A = \text{length} \times \text{width} \), substitute the values: \( A = 9 \, \text{m} \times 6 \, \text{m} \).
\( 9 \times 6 = 54 \), so the area is \( 54 \, \text{m}^2 \).

Step4: Calculate the total area

First, find the sum of the areas of the three rectangles. The areas are 36 \( \text{m}^2 \) (Rectangle 1), 90 \( \text{m}^2 \) (Rectangle 2), and 54 \( \text{m}^2 \) (Rectangle 3).
Sum the areas: \( 36 + 90 + 54 \).
\( 36 + 90 = 126 \), then \( 126 + 54 = 180 \). So the total area is \( 180 \, \text{m}^2 \).

Answer:

Area of Rectangle 3: \( 54 \, \text{m}^2 \)
Total Area: \( 180 \, \text{m}^2 \)