![quadrilateral problem 3 solution](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tkxqDcuG-rVafCgBDEAToidjWjQMAILLfhQJtlYtXP530x8bjZgRUoAUaGTYdfiy2rVUYtYknfQ58Np5XdyZI1wWTyh0hSVfbU4kW3SdtOSreD6yj7CS9su7k2FBiWJZthZyo7Sm3mHNl6Iv5KiotkY7FBGA=s0-d)
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ABD is a right triangle; hence BD
2 = 15
2 + 15
2 = 450
Also BC
2 + CD
2 = 21
2 + 3
2 = 450
The above means that triangle BCD is also a right triangle and the total
area of the quadrilateral is the sum of the areas of the two right
triangles.
Area of quadrilateral = (1/2)*15*15 + (1/2)*21*3 = 144
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