9514 1404 393
Answer:
- 1 triangle: 2 m²
- 2 triangles: 4 m²
- large rectangle: 32 m²
- small rectangle: 3 m²
- total area: 39 m²
- cost of tile: $487.50
Step-by-step explanation:
You will run across many examples of poorly edited curriculum materials. This is one of them. We presume that every instance of "inches" should be an instance of "meters". The difference between in and m is not always obvious in a diagram, and m apparently got misinterpreted here.
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The area of a triangle is given by the formula ...
A = 1/2bh
where b is the base and h is the height perpendicular to the base.
The triangles in this figure have a base of 4 m, and a height of 1 m. Using this formula, we find the area of 1 triangle to be ...
A = 1/2(4 m)(1 m) = 2 square meters . . . . area of 1 triangle
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The triangles are the same size, so the area of both together is ...
2(2 m²) = 4 square meters . . . . area of both triangles together
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The large rectangle is 8 m long and 4 m high. Its area is given by the formula ...
A = LW
where the length is L and the width is W. Using this formula, we find the area of the large rectangle to be ...
A = (8 m)(4 m) = 32 m² . . . . area of large rectangle
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The small rectangle has a length of 3 m and a width of 1 m. Its area is ...
A = (3 m)(1 m) = 3 m² . . . . area of small rectangle
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The total area is the sum of the areas of the pieces:
total area = 2 triangles + large rectangle + small rectangle
total area = 4 m² + 32 m² + 3 m² = 39 square meters
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At $12.50 per square meter, the cost of covering the patio is ...
($12.50/m²)(39 m²) = $487.50 . . . . cost of tile
