Area of Triangles, Quadrilaterals and Polygons: Grade 6 Math Quiz – PDF Download

This quick quiz has ten multiple-choice questions on the area of triangles, parallelograms, trapezoids, and composite polygons. Choose one answer for each question. After you finish, read each explanation to see the common mistake behind the wrong choices.

Grade 6Common Core: 6.G.A.1

🎯 Area of Triangles, Quadrilaterals and Polygons – Grade 6 math quiz

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Question 1

Triangle for Question 1.

Find the area of a triangle with base $12\text{ ft}$ and height $5\text{ ft}$.

A 60 square feet

B 17 square feet

C 30 square feet

D 25 square feet

Question 2

A parallelogram has a base of $9\text{ in}$, a slanted side of $5\text{ in}$, and a height of $4\text{ in}$. What is its area?

A 36 square inches

B 45 square inches

C 18 square inches

D 20 square inches

Question 3

Trapezoid for Question 3.

A trapezoid has parallel sides of $4\text{ m}$ and $8\text{ m}$ and a height of $5\text{ m}$. What is its area?

A 60 square meters

B 40 square meters

C 30 square meters

D 17 square meters

Question 4

Which formula gives the area of a triangle with base $b$ and height $h$?

A $A = bh$

B $A = \frac{1}{2}bh$

C $A = \frac{1}{2}(b + h)$

D $A = 2bh$

Question 5

A right triangle has legs of $6\text{ cm}$ and $8\text{ cm}$ and a hypotenuse of $10\text{ cm}$. What is its area?

A 48 square centimeters

B 30 square centimeters

C 40 square centimeters

D 24 square centimeters

Question 6

A triangle has an area of $28\text{ ft}^2$ and a base of $8\text{ ft}$. What is its height?

A 3.5 ft

B 14 ft

C 20 ft

D 7 ft

Question 7

A shape is a rectangle $8\text{ ft}$ by $5\text{ ft}$ with a triangle on top. The triangle has a base of $8\text{ ft}$ and a height of $3\text{ ft}$. What is the total area?

A 52 square feet

B 64 square feet

C 40 square feet

D 43 square feet

Question 8

L-shaped room for Question 8.

An L-shaped room is a $10\text{ ft}$ by $7\text{ ft}$ rectangle with a $4\text{ ft}$ by $3\text{ ft}$ corner removed. What is its area?

A 82 square feet

B 58 square feet

C 70 square feet

D 12 square feet

Question 9

A triangular sail has a base of $6\text{ m}$ and a height of $5\text{ m}$. The cloth costs $\$4$ per square meter. What is the cost of the cloth?

A $\$120$

B $\$44$

C $\$60$

D $\$15$

Question 10

Which unit is best for the area of a classroom floor?

A square feet

B feet

C cubic feet

D pounds

🎉 Quiz complete!

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Remember:

Triangle: $A = \frac{1}{2}bh$; parallelogram: $A = bh$.
Trapezoid: $A = \frac{1}{2}(b_1 + b_2)h$.
The height is always perpendicular to the base, never a slanted side.
Composite polygons are cut into rectangles and triangles, or a piece is subtracted.
Area is measured in square units such as ft$^2$ or m$^2$.

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See every chapter on the Grade 6 math page.

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Area of Triangles, Quadrilaterals and Polygons: Grade 6 Math Quiz – PDF Download

🎉 Quiz complete!

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