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Three triangles of different sizes are drawn on the rectangular piece of paper below and painted grey. Given the rectangular paper has an area of 
840cm^(2), find the area of the painted portions.

(1)/(2)× b × h

Three triangles of different sizes are drawn on the rectangular piece of paper below and painted grey. Given the rectangular paper has an area of 840 cm2 840 \mathrm{~cm}^{2} , find the area of the painted portions.\newline12×b×h \frac{1}{2} \times b \times h

Full solution

Q. Three triangles of different sizes are drawn on the rectangular piece of paper below and painted grey. Given the rectangular paper has an area of 840 cm2 840 \mathrm{~cm}^{2} , find the area of the painted portions.\newline12×b×h \frac{1}{2} \times b \times h
  1. Calculate Total Area: The area of the rectangular paper is given as 840cm2840\,\text{cm}^2. We need to find the area of the painted triangles.
  2. Use Triangle Area Formula: Each triangle's area can be calculated using the formula (12)×base×height(\frac{1}{2})\times\text{base}\times\text{height}. We need the base and height for each triangle to proceed.
  3. Add Up Triangle Areas: Assuming we have the base and height for each triangle, we would add up the areas of all three triangles to find the total painted area.
  4. Missing Measurements: However, we don't have the specific measurements for the bases and heights of the triangles. Without this information, we cannot calculate the areas of the triangles.

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