Account Sign in Sign up

Free classroom resource

Math worksheet generator

Build a printable AMC-style set by topic and difficulty. Every worksheet includes multiple-choice questions and a worked answer key.

Mathbound · Contest practice

Area Techniques worksheet

Mixed difficulty

Name

Date

1.
A square has side length $35$ . What is its perimeter?
- A.140
- B.141
- C.1225
- D.139
- E.70
2.
A square has side length $3$ . What is its perimeter?
- A.6
- B.12
- C.13
- D.9
- E.11
3.
Right triangle $ABC$ has legs of lengths $8$ and $15$ . What is the length of the hypotenuse?
- A.18
- B.19
- C.17
- D.23
- E.16
4.
Equilateral triangle side $4$ . Area is $a\sqrt{3}$ . What is $a$ ?
- A.11
- B.13
- C.16
- D.8
- E.12
5.
A square has side length $31$ . What is its perimeter?
- A.62
- B.124
- C.125
- D.961
- E.123
6.
A square has side length $23$ . What is its perimeter?
- A.92
- B.93
- C.529
- D.91
- E.46
7.
Equilateral triangle side $10$ . Area is $a\sqrt{3}$ . What is $a$ ?
- A.75
- B.74
- C.76
- D.100
- E.50
8.
A square has perimeter $36$ . What is its area?
- A.64
- B.81
- C.72
- D.36
- E.54
9.
Equilateral triangle side $8$ . Area is $a\sqrt{3}$ . What is $a$ ?
- A.48
- B.47
- C.49
- D.64
- E.32
10.
Equilateral triangle side $6$ . Area is $a\sqrt{3}$ . What is $a$ ?
- A.26
- B.28
- C.36
- D.18
- E.27

Answer key · worked solutions

1. A. 140
Perimeter $4s$ . $4\cdot35$ . $140$ .
2. B. 12
Perimeter $4s$ . $4\cdot3$ . $12$ .
3. C. 17
Pythagorean triple $8,15,17$ . $\sqrt{64+225}=17$ . $17$ .
4. E. 12
$\frac{\sqrt{3}}{4}s^2$ . $a=s^2/4$ . $12$ .
5. B. 124
Perimeter $4s$ . $4\cdot31$ . $124$ .
6. A. 92
Perimeter $4s$ . $4\cdot23$ . $92$ .
7. A. 75
$\frac{\sqrt{3}}{4}s^2$ . $a=s^2/4$ . $75$ .
8. B. 81
Side $9$ . $9^2$ . $81$ .
9. A. 48
$\frac{\sqrt{3}}{4}s^2$ . $a=s^2/4$ . $48$ .
10. E. 27
$\frac{\sqrt{3}}{4}s^2$ . $a=s^2/4$ . $27$ .

Teaching a class or club? Find classroom-ready starting sets on the teacher resources page.

Free AMC Math Worksheet Generator — Mathbound