Free Printable Area of Parallelograms, trapezoids, and Triangles Review

1.

What is the area of $\Delta ABC$ where $A\left(-1,4\right),$ $B\left(-1,10\right),$ and $C\left(4,5\right)?$

a)

$12\ units^2$

b)

$15\ units^2$

c)

$24\ units^2$

d)

$30\ units^2$

2.

What is the area of parallelogram ABCD where $A\left(1,2\right),$ $B\left(5,2\right),$ $C\left(7,5\right),$ and $D\left(3,5\right)?$

a)

$6\ units^2$

b)

$12\ units^2$

c)

$16\ units^2$

d)

$24\ units^2$

3.

A triangle with side lengths of 3 cm, 4 cm, and 5 cm has an area of $6\ cm^2.$

a)

True

b)

False

c)

Impossible to determine

4.

A triangle with side lengths 5 ft, 12 ft, and 13 ft has an area of $60\ ft^2.$

a)

True

b)

False

c)

Impossible to determine

5.

A square with the coordinates $A\left(2,2\right),$ $B\left(4,4\right),$ $C\left(2,6\right),$ and $D\left(0,4\right)$ has an area of (a) $units^2.$

6.

The are of the trapezoid is (a) $units^2.$

7.

The area of the triangle is (a) $units^2.$

8.

The area of the triangle is (a) $units^2.$

9.

Which of the following are formulas used on rectangles? Select all that apply.

a)

A=\frac{1}{2}bh

b)

$A=bh$

c)

$P=2l+2w$

d)

$A=\frac{1}{2}h\left(b_1+b_2\right)$

e)

$A=lw$

10.

If a 10 cm diagonal forms a $30\degree$ angle with the length of the rectangle, what is the area of the rectangle?

a)

$25\sqrt{3}\ cm^2$

b)

$50\ cm^2$

c)

$25\sqrt{2}\ cm^2$

d)

$60\ cm^2$

11.

The diagonal of a square is $2\sqrt{2}cm.$ The area of the square must be__________.

a)

$4\ cm^2$

b)

$8\ cm^2$

c)

$4\sqrt{2}\ cm^2$

d)

$8\sqrt{2}\ cm^2$

12.

A trapezoid has a height of 3 cm and its bases are 10 cm and 12 cm. What is its area?

a)

66\ cm^2

b)

$33\ cm^2$

c)

$28\ cm^2$

d)

$27\ cm^2$

13.

An isosceles trapezoid has bases of 8 inches and 14 inches and legs that are each 5 inches. What is the area of the trapezoid?

a)

44\ in^2

b)

$88\ in^2$

c)

$55\ in^2$

d)

$110\ in^2$

14.

You can find the area of both parallelograms AND rectangles using the formula $A=bh.$

a)

True

b)

False

15.

A triangles area is always half the area of a parallelogram with the same height and base lengths.

a)

True

b)

False

16.

The area of the square is (a) $cm^2.$ If necessary, round to the nearest tenths place (one decimal place).

17.

The area of the rectangle is (a) $cm^2.$ If necessary, round to one decimal place.

18.

The area of the figure is (a) $cm^2.$ If necessary, round to one decimal place.

19.

The are of the rectangle is (a) $cm^2.$ If necessary, round to one decimal place.

20.

The area of the triangle is (a) $cm^2.$ If necessary, round to one decimal place.

Area of Parallelograms, trapezoids, and Triangles Review

Total questions: 20

Worksheet time: 10mins

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