- Perimeter and Area of Polygons
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- Sides of polygons having the same perimeter
- Finding the missing length in a figure
- Perimeter of a piecewise rectangular figure
- Area of a rectangle involving fractions
- Distinguishing between the area and perimeter of a rectangle
- Areas of rectangles with the same perimeter
- Word problem involving the area of a square or a rectangle
- Finding the side length of a rectangle given its perimeter or area
- Area of a piecewise rectangular figure
- Area between two rectangles
- Finding the area of a right triangle on a grid
- Finding the area of a right triangle or its corresponding rectangle
- Area of a triangle
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area involving rectangles and triangles
- Area of a parallelogram
- Area of a trapezoid
- Finding the perimeter or area of a rectangle in the coordinate plane
Area of a trapezoid
The trapezoid has one pair of parallel opposite sides called the bases b1 and b2. The height h of the trapezoid is perpendicular distance between these bases.
Formula to find area of a trapezoid
Area of a trapezoid = $\left [ \frac{\left ( b_1 + b_2\right )}{2} \right ] \times h$
where h is the height and b1 and b2 are the bases.
We multiply the average of the bases of the trapezoid with the height of the trapezoid to get its area.
Find the area of the following trapezoid.
Solution
Step 1:
Area of Trapezoid = $\frac{1}{2}$ × h × (b1 + b2); b1, b2 = bases = 3, 4.5; h = height = 5.
Step 2:
Area of trapezoid = $\frac{1}{2}$ × 5 × (3 + 4.5) = 18.75 square in
Find the area of the following trapezoid.
Solution
Step 1:
Area of Trapezoid = $\frac{1}{2}$ × h × (b1 + b2); b1, b2 = bases = 5, 8; h = height = 4.4.
Step 2:
Area of trapezoid = $\frac{1}{2}$ × 4.4 × (5 + 8) = 28.6 square in
