Math  /  Geometry

QuestionGeomatry, Meosurement, Data Analysis Sydne Area livolving rectangles and triangles
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. \square Exilyanation Check O 2024 MaGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibitif Search

Studdy Solution
Subtract the area of the rectangle from the area of the triangle to find the area of the shaded region:
Area of Shaded Region=Area of TriangleArea of Rectangle \text{Area of Shaded Region} = \text{Area of Triangle} - \text{Area of Rectangle}
Substitute the calculated areas:
Area of Shaded Region=18ft28ft2 \text{Area of Shaded Region} = 18 \, \text{ft}^2 - 8 \, \text{ft}^2
Calculate:
Area of Shaded Region=10ft2 \text{Area of Shaded Region} = 10 \, \text{ft}^2
The area of the shaded region is:
10ft2 \boxed{10 \, \text{ft}^2}

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