Area With Decomposing Shapes

I can find the area using the subtracting strategy.

• Level 1 - No, I do not understand this strategy.

• Level 2 - So-So. I understand this strategy with help.

• Level 3 - Yes! I am able to practice this strategy independently.

Show how you can find the area of the isosceles trapezoid shown by decomposing into triangles and rectangles and using their area formulas to find the total area of the figure.

Tags

NC.6.G.1

For your reference, create the net for a given prism or pyramid, and then use the net to calculate the surface area.

Answer explanation

To calculate the surface area, create the net by unfolding the prism or pyramid. Sum the areas of all faces, including the base and lateral faces, to find the total surface area.

Tags

NC.6.G.4

Find the surface area of the triangular prism.

• 228 cm²

• 170 cm²

• 304 cm²

• 328 cm

^{_{Find the Surface Area}}

• 15m²

• 16m²

• 18m²

• 20m²

What is the area?

• 6 square units

• 10 square units

• 5 square units

• 2 square units

What does the picture show?

• composing a shape

• building a shape

• putting shapes together

• decomposing a shape

What is the area of the shape?

• 10 square units

• 4 square units

• 8 square units

• 16 square units

What is the area of the square?

• 10 square units

• 16 square units

• 20 square units

• 30 square units

Imagine Abigail and Emma are on a treasure hunt in a magical land. They come across a mysterious map that shows a treasure hidden under a shape that is a combination of a parallelogram and a trapezoid. The parallelogram part of the map has a base of 12 cm and a height of 8 cm, while the trapezoid part has bases of 6 cm and 10 cm with a height of 5 cm. Help Abigail and Emma calculate the area of this composite figure to find the treasure!

• 96 sq cm

• 72 sq cm

• 136 sq cm

• 50 sq cm

Answer explanation

To find the area of the composite figure, calculate the area of the parallelogram (12*8) and the trapezoid ((6+10)*5/2), then add them together (96 + 40 = 136 sq cm).