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The following shape has 0 pairs of parallel sides. What is the area of the shape?

The following shape has 0 pairs of parallel sides. What is the area of the shape?-example-1
User Jeff Hardy
by
8.4k points

2 Answers

5 votes

Area of trapezoid

  • 1/2(10+3)(5)
  • 1/2(13)(5)
  • 65/2
  • 32.5units²

Area of traingle'-

  • 1/2(10)(7)
  • 5(7)
  • 35units²

Total area:-

  • 35+32.5
  • 67.5units²
User SimpleDesign
by
7.8k points
9 votes

Answer:

67.5 square units

Explanation:

Formulae


\textsf{Area of a triangle}=\sf \frac12bh

(where b is the base and h is the height)


\textsf{Area of a trapezoid}= \sf \frac12(a+b)h

(where a and b are the bases, and h is the height)

Solution

We can divide this shape into a triangle and a trapezoid.


\implies \textsf{Area of triangle}=\sf \frac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}


\implies \textsf{Area of trapezoid}= \sf \frac12(3+10)\cdot 5=32.5\:\textsf{(square units)}

Therefore:

Area of shape = 35 + 32.5 = 67.5 square units

User Ralpharoo
by
9.0k points

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