Area of Polygons Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 5 1 of 5 Items
Question
Use the image to answer the question.
An illustration shows the outline of letter upper L. The thickness of the outline is 7, marked at both ends of the letter. The vertical side of the outline, on the right, measures 13 and the upper horizontal side of the outline measures 15.
Find the area of the polygon in square units.
(1 point)
square units
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An illustration shows the outline of a rightward facing arrow head. The perpendicular height of the triangular part is 6. The sides of the rectangular part each measure 4. The part of the triangle's base on either side of the rectangular part measures 4.
A pentagon is formed of two perpendicular lines on a base, which converge to form a triangular end. The pentagon points downward and has a total height of 8. The base measures 10 and the perpendicular side measures 5.
An illustration shows a hexagon with an inward triangle drawn from one of the sides. The triangle is marked A equals 4.
A polygon is shaped like a trapezoid attached to the top of a vertical rectangle. The length of the rectangle is 7.2 and the width is 6. The perpendicular height of the trapezoid is 3, marked with a dashed vertical line forming an extension of the rectangle to the top left vertex of the trapezoid. The part of trapezoid that extends outward and perpendicular to both sides of the rectangle measures 1.
For the first question:
The area of the polygon can be found by breaking it down into two rectangles and a right triangle.
The area of the first rectangle is 7 x 15 = 105 square units.
The area of the second rectangle is 7 x 13 = 91 square units.
The area of the triangle is (1/2) x 7 x 13 = 45.5 square units.
Therefore, the total area of the polygon is 105 + 91 + 45.5 = 241.5 square units.