Question

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 \\(\square\\) inches\\(^2\\) the total area of the placemat is \\(\square\\) inches\\(^2\\)

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.

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Step2: Calculate the total area of the placemat

Since there are \(n = 42\) triangles and the area of one triangle \(A_{1}=10\) square inches. The total area \(A_{total}=n\times A_{1}\)

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Answer:

Each triangle has an area of \(10\) inches². The total area of the placemat is \(420\) inches².