Question

the given figure consists of a parallelogram and a square. the base of parallelogram quar is 9 centimeters and the height is 3 centimeters. use the given information to complete the worksheet. base of parallelogram quar height of parallelogram quar area of parallelogram quar side of square sqre area of square sqre the area of the given figure is. diagram label: ua, qz, se. value: 9, 3, 27. units: centimeters, centimeters, square centimeters, centimeters, square centimeters. area formulas: parallelogram: a = bh, square: a = s^2, triangle: a = 1/2 bh, trapezoid: a = 1/2 h(b1 + b2)

Explanation:

Step1: Calculate area of parallelogram

The formula for the area of a parallelogram is $A = bh$. Given $b = 9$ cm and $h=3$ cm, so $A_{parallelogram}=9\times3 = 27$ square - centimeters.

Step2: Calculate area of square

The side - length of the square SQRE is not given directly, but we know the area of the parallelogram is 27 square centimeters. Since the area of a square is $A = s^{2}$, and assume the side - length of the square is $s$. There is no information about the square's side - length related to the parallelogram in a non - trivial way from the given text. But if we assume the figure is composed in a way that we need to find the total area of the figure which is the sum of the area of the parallelogram and the area of the square. Let's first find the area of the square. Since no side - length of the square is given, we assume we are just asked for the combined area considering the parallelogram's area calculation is done.

Step3: Calculate total area

The figure is composed of a parallelogram and a square. The area of the parallelogram $A_{p}=27$ square centimeters. Let's assume the area of the square is $A_{s}$. Since no data about the square's side is given other than the overall figure composition, and if we assume we are just combining the known area of the parallelogram and no operation on the square's area calculation is possible with given data, the area of the given figure is the area of the parallelogram (if no other information about the square is used). So the area of the given figure is the area of the parallelogram which is 27 square centimeters.

Answer:

27 square centimeters