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Find the area of the parallelogram, trapezoid, rhombus, or kite. Round to the nearest tenth, if necessary.

Question

Find the area of the parallelogram, trapezoid, rhombus, or kite. Round to the nearest tenth, if necessary.

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Solution

Sure, I can help with that. To find the area of a parallelogram, trapezoid, rhombus, or kite, we need to use the appropriate formula for each shape. Let's go through each one step by step.

Parallelogram

The area A A of a parallelogram is given by: A=b×h A = b \times h where b b is the base and h h is the height.

Trapezoid

The area A A of a trapezoid is given by: A=12×(b1+b2)×h A = \frac{1}{2} \times (b_1 + b_2) \times h where b1 b_1 and b2 b_2 are the lengths of the two parallel sides (bases) and h h is the height.

Rhombus

The area A A of a rhombus can be found using either of the following formulas:

  1. Using the base and height: A=b×h A = b \times h where b b is the length of a side (base) and h h is the height.
  2. Using the diagonals: A=12×d1×d2 A = \frac{1}{2} \times d_1 \times d_2 where d1 d_1 and d2 d_2 are the lengths of the diagonals.

Kite

The area A A of a kite is given by: A=12×d1×d2 A = \frac{1}{2} \times d_1 \times d_2 where d1 d_1 and d2 d_2 are the lengths of the diagonals.

To proceed, please provide the specific dimensions (base, height, diagonals, etc.) for the shape you are working with.

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