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Find the area of the shaded region

Find the area of the shaded region-example-1
User BroVic
by
8.6k points

2 Answers

3 votes

Area of the shaded region is 223.72 square units.

Explanation:

Area of the shaded region = Area of parallelogram - Area of triangle

Area of the parallelogram = base x height

= 23.8 x 15

= 357 square feet

Area of triangle = \frac{1}{2}

2

1

x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

23.8^{2}23.8

2

= 21^{2}21

2

+ h^{2}h

2

566.44 = 441 + h^{2}h2

h^{2}h

2= 125.44

h = \sqrt{125.44}

125.44

= 11.2

h = 11.2

Area of the triangle = \frac{1}{2}

21 x 23.8 x 11.2 = 133.28

Area of shaded region = 357 - 133.28

= 223.72

Area of the shaded region is 223.72 square units.

User Ianmcook
by
8.5k points
2 votes

Answer:

249.9

Explanation:

User Chia Yongkang
by
8.8k points

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