Math Problem Statement

It takes ____ triangles to form Rectangle B. The area of Rectangle B is ____ cm². The area of Triangle A is ____ cm².

Solution

Let's break down the problem based on the information from the image:

  1. It takes ____ triangles to form Rectangle B.

    • The rectangle B is formed by several smaller right triangles. Based on the grid and the structure of the rectangle, we need to count how many of Triangle A fit inside Rectangle B.
    • The base of Triangle A spans across a few squares in the grid. We need to count how many triangles fill the area of Rectangle B.
  2. The area of Rectangle B is ____ cm².

    • Rectangle B is made of smaller squares, each with a side of 1 cm. To find the area, we count the number of squares (or the number of cm²) that make up Rectangle B.
  3. The area of Triangle A is ____ cm².

    • The area of Triangle A is a right triangle, and you can use the formula for the area of a triangle: Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
    • The base and height of Triangle A are given by the dimensions of the grid.

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Math Problem Analysis

Mathematical Concepts

Area of Shapes
Triangles
Rectangles

Formulas

Area of Rectangle = length × width
Area of Triangle = 1/2 × base × height

Theorems

Area of rectangle theorem
Area of triangle theorem

Suitable Grade Level

Grades 6-8