Question

area of triangles solving a real - world problem millie makes a placemat with a triangular pattern. each triangle has a base of 5 inches and a height of 4 inches. millie sews together a total of 42 triangles. each triangle has an area of <image> inches². the total area of the placemat is <image> inches².

Explanation:

Step1: Calculate the area of one triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Given \(base = 5\) inches and \(height=4\) inches.

$$A=\frac{1}{2}\times5\times4$$

$$A = 10$$

Step2: Calculate the total area of the placemat

Since there are 42 triangles, and the area of one triangle is 10 square inches.
The total area \(=42\times10\)

$$= 420$$

Answer:

Each triangle has an area of \(10\) square inches. The total area of the placemat is \(420\) square inches.