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Worksheets

Area Formulas

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.

The formula for finding the area of a triangle is ______

a)

@@A= rac{b imes h}{2}@@

b)

@@A=b imes h@@

c)

@@A= rac{b + h}{2}@@

d)

@@A=b imes h^2@@

2.

What is the formula for the area of a rectangle?

a)

@@A = l imes w@@ (length times width)

b)

@@A = l + w@@ (length plus width)

c)

@@A = 2l + 2w@@ (perimeter formula)

d)

@@A = l^2@@ (area of a square)

3.

How do you find the area of a composite shape?

a)

Multiply the length and width of the entire shape.

b)

Divide the shape into simpler shapes, find the area of each, and sum them up.

c)

Estimate the area by measuring the perimeter.

d)

Use a calculator to find the area directly.

4.

What is the formula for the area of a circle?

a)

@@A = rac{1}{2} imes b imes h@@ (half base times height)

b)

@@A = 2eta r@@ (twice the radius)

c)

@@A = rac{4}{3} imes eta r^3@@ (four-thirds pi times radius cubed)

d)

@@A = \\pi r^2@@ (pi times radius squared)

5.

What is the formula for the area of a trapezoid?

a)

@@A= rac{(b_1+b_2)h}{2}@@

b)

@@A=b imes h@@

c)

@@A= rac{1}{2}(b_1 + b_2) imes h@@

d)

@@A= rac{(b_1-b_2)h}{2}@@

6.

If the base of a trapezoid is 8 cm, the top base is 5 cm, and the height is 4 cm, what is the area?

a)

20 cm²

b)

24 cm²

c)

26 cm²

d)

30 cm²

7.

What is the relationship between the area of a rectangle and the area of a square?

a)

A square is a special type of rectangle where all sides are equal.

b)

A rectangle can never be a square.

c)

The area of a rectangle is always greater than the area of a square.

d)

A square has a larger area than any rectangle.

8.

What is the formula for the area of a parallelogram?

a)

@@A = b \, \cdot \, h@@

b)

@@A = \frac{1}{2} \cdot b \cdot h@@

c)

@@A = b + h@@

d)

@@A = b^2 + h^2@@

9.

What is the area of a square with a side length of 6 cm?

a)

@@A = 36 cm^2@@

b)

@@A = 12 cm^2@@

c)

@@A = 24 cm^2@@

d)

@@A = 18 cm^2@@

10.

What shapes can be used to find the area of a complex figure?

a)

Squares, rectangles, and ellipses.

b)

Rectangles, triangles, circles, and other polygons.

c)

Cubes, spheres, and cylinders.

d)

Lines, points, and angles.

11.

What is the area of a parallelogram with a base of 12 cm and height of 7 cm?

a)

84 cm²

b)

72 cm²

c)

96 cm²

d)

60 cm²

12.

What is the area of a triangle with a base of 10 cm and height of 5 cm?

a)

20 cm²

b)

25 cm²

c)

30 cm²

d)

15 cm²

13.

What is the area of a circle with a radius of 3 cm?

a)

@@A = \frac{22}{7} \times 3^2 \text{ cm}^2 \text{ (approx. 28.29 cm}^2)@@

b)

@@A = \frac{3.14}{2} \times 3^2 \text{ cm}^2 \text{ (approx. 14.14 cm}^2)@@

c)

@@A = \frac{3.14}{3} \times 3^2 \text{ cm}^2 \text{ (approx. 9.42 cm}^2)@@

d)

@@A = \frac{3.14}{4} \times 3^2 \text{ cm}^2 \text{ (approx. 7.07 cm}^2)@@

14.

What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 5 cm?

a)

30 cm²

b)

40 cm²

c)

50 cm²

d)

20 cm²