Find the area of the shaded region
2 answers:
Answer:
<h2>107 mm²</h2>Step-by-step explanation:
The formula of an area of a rectangle:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
<em />
The area of a given shaded region is equal to the area of the whole rectangle, minus the area of the small rectangle.
Area of the whole rectangle:
<em>l = 15mm, w = 9mm</em>
<em>A₁ = (15)(9) = 135 mm²</em>
Area of the small rectangle:
<em>l = 7mm, w = 4mm</em>
<em>A₂ = (7)(4) = 28 mm²</em>
<em></em>
Area of the shaded region:
<em>A = A₁ - A₂</em>
<em>A = 135 - 28 = 107 mm²</em>
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Step-by-step explanation:
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Using the sine ratio in the right triangle
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(5)
Using the tangent ratio in the right triangle
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, thus
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