Question

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

Answer 1

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

Answer 2

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