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Ksju [112]
3 years ago
12

---!99 POINTS!---

Mathematics
2 answers:
vampirchik [111]3 years ago
5 0
Its a square with 3 right triangles,
6*6+1/2(6+12+18)
=36+1/2(36)
=36+18
=54
viktelen [127]3 years ago
3 0
You can split this figure into two parts:

1. Triangle ABF with base |BF|=10 and height |AE|=3
Area of that triangle is:

A_\Delta=\dfrac{1}{2}\cdot|BF|\cdot|AE|=\dfrac{1}{2}\cdot10\cdot3=5\cdot3=\boxed{15}

2. Trapezoid BCDE with bases |CD|=7 and |EB|=6 and with height |BC|=6. Its area:

A_T=\dfrac{|CD|+|EB|}{2}\cdot|BC|=\dfrac{7+6}{2}\cdot6=\dfrac{13}{2}\cdot6=13\cdot3=\boxed{39}

So area of the shape is:

A=A_\Delta+A_T=15+39=\boxed{54\text{ units}^2}

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