## Geometry HW 70 Area Rectangles Triangles Parallelograms Trapezoids Answer Key Introduction:

Geometry can be a challenging subject, especially when it comes to calculating areas of different shapes. However, with the right tools and techniques, you can master this important aspect of geometry. To help you ace your homework on areas of rectangles, triangles, parallelograms, and trapezoids, we’ve put together this comprehensive guide. So let’s dive in!

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First, let’s start with the basics. To find the area of a rectangle, multiply its length by its width. For example, if a rectangle has a length of 8 units and a width of 5 units, its area would be 8 x 5 = 40 square units. It’s important to remember that the units of length and width must be the same, otherwise, the area calculation won’t make sense.

Moving on to triangles, the formula for finding the area of a triangle is 1/2 base x height. The base is the length of the bottom of the triangle, and the height is the length of a perpendicular line from the base to the top of the triangle. For example, if a triangle has a base of 6 units and a height of 10 units, its area would be 1/2 x 6 x 10 = 30 square units.

Next up are parallelograms. To find the area of a parallelogram, multiply its base (the length of its bottom) by its height. Like with triangles, the height is the length of a perpendicular line from the base to the opposite side of the parallelogram. For example, if a parallelogram has a base of 8 units and a height of 4 units, its area would be 8 x 4 = 32 square units.

Finally, let’s talk about trapezoids. A trapezoid is a four-sided shape with two parallel sides of different lengths. To find the area of a trapezoid, add the lengths of the parallel sides together, divide by 2, and then multiply by the height. For example, if a trapezoid has a top side length of 5 units, a bottom side length of 10 units, and a height of 8 units, its area would be (5 + 10) / 2 x 8 = 60 square units.

Now that you know the formulas for calculating the area of rectangles, triangles, parallelograms, and trapezoids, it’s time to put your skills to the test. If you’re struggling with your homework, don’t worry! There are plenty of resources available to help you, including online tutorials, textbooks, and practice problems.

### Conclusion:

Geometry homework on areas of different shapes can be challenging, but with the right tools and techniques, you can master this important aspect of the subject. By knowing the formulas for calculating the area of rectangles, triangles, parallelograms, and trapezoids, you’ll be well on your way to acing your homework and understanding geometry on a deeper level. So don’t be afraid to dive in and practice, practice, practice!