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Grade 11 Area Formulas Worksheet

This worksheet covers various area formulas for common geometric shapes, including advanced applications and problem-solving.

Grade 11 Math GeometryArea Formulas
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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgeometryareaformulasgrade11
8 sections · Free to use · Printable
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Grade 11 Area Formulas

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Read each question carefully and solve for the area using the appropriate formulas. Show all your work.

1. Calculate the area of a triangle with a base of 12 cm and a height of 8 cm.

2. A rectangle has a length of 15 meters and a width of 7 meters. Find its area.

3. What is the area of a circle with a radius of 6 inches? Use π ≈ 3.14.

4. Which formula is used to calculate the area of a trapezoid?

a

A = lw

b

A = ½bh

c

A = ½h(b₁ + b₂)

d

A = πr²

5. A parallelogram has a base of 10 cm and a height of 5 cm. Its area is:

a

25 cm²

b

50 cm²

c

100 cm²

d

150 cm²

6. The area of a rhombus can be calculated using the formula A = ½d₁d₂, where d₁ and d₂ are the lengths of the  .

7. To find the area of a regular polygon, you need the length of its   and its apothem.

8. Consider the trapezoid shown below. Calculate its area.

15 cm10 cmh = 7 cm

9. A circular garden has a diameter of 14 meters. What is the area of the garden? Use π ≈ 3.14.

D=14m

10. The area of a square with side length 's' is s³.

T

True

F

False

11. Doubling the radius of a circle doubles its area.

T

True

F

False

12. A composite shape is made of a rectangle and a semicircle. The rectangle has dimensions 10 cm by 6 cm. The semicircle is attached to the 6 cm side. Find the total area of the composite shape. Use π ≈ 3.14.