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__________ inches2
The total area of the placemat is ______inches2
Answers
ANSWER
1. AREA = 1/2 × BASE × HEIGHT
= 1/2×5×4
= 10
2. TOTAL AREA = 42 × AREA OF 1 TRIANGLE
= 42 × 10
= 420 inches ^2
HOPE THIS WILL HELP YOU
Given : 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.
To find : Area of each triangle and total area of the placemat.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required areas)
The area of a triangular placemat :
= ½ × base × height
= ½ × 5 × 4
= 10 inches²
Now, the total area of the placemat :
= Area of a placemat × Number of triangles
= 10 × 42
= 420 inches²
(These will be considered as the final results of the given mathematical problem.)
Hence, each triangle has an area of 10 inches ². The total area of the placemat is 420 inches².