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Lesson: Area: Composite Shapes (Triangles and Rectangles)

Worksheet: Composite Shapes: Rectangles and Triangles • 20 Questions

Q1:

In the figure, is a rectangle, and the points , , and are collinear. Given that is parallel to , find the area of .

Q2:

Find the area of this shape.

Q3:

Find the area of the given figure.

Q4:

Find an expression for the area of the shape below.

  • A
  • B
  • C
  • D
  • E

Q5:

A family wants to paint the deck around their pool. The dimensions of both are shown in the figure. Given that a gallon of paint covers 200 square feet, how many gallons will they need to apply two coats of paint?

Q6:

Write the algebraic expression that represents the area of the given figure in square centimeters.

  • A
  • B
  • C
  • D
  • E

Q7:

Write an expression for the area of the shaded region in the shape below.

  • A
  • B
  • C
  • D

Q8:

Find the area of the given figure to the nearest hundredth.

Q9:

Below is a square which has had a rectangle measuring 4 cm by 3 cm removed. Find the area of the shaded part.

Q10:

The triangles in the figure are all congruent. Determine the area of the figure.

  • A
    6 162
    m2
  • B
    13 866
    m2
  • C
    9 245
    m2
  • D
    14 792
    m2
  • E
    7 396
    m2

Q11:

Calculate the area of the shaded region.

Q12:

Calculate the area of the given figure.

Q13:

Find the area of the given shape.

Q14:

Given that is a square of side 6, what is the shaded area?

Q15:

David wants to lay a new carpet in his bedroom. Determine the total area that needs to be carpeted, given that the shown figure is the floor plan.

Q16:

If , find the area of the given figure to the nearest hundredth.

Q17:

Below is a rectangle which has had a square of length 2 cm cut from it. Find the perimeter and area of the remaining shape.

  • APerimeter: 40 cm. Area: 100 cm2.
  • BPerimeter: 46 cm. Area: 100 cm2.
  • CPerimeter: 34 cm. Area: 100 cm2.
  • DPerimeter: 100 cm. Area: 46 cm2.

Q18:

Find the area of the shaded region.

  • A
  • B
  • C
  • D
  • E

Q19:

Calculate the area of the shape.

Q20:

Calculate the area of the shape.

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