# Sides of polygons having the same perimeter Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Sides of polygons having the same perimeter**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

**Q 1 - A wire is first bent into the shape of a rectangle with width 7 cm and 14 cm length. Then the wire is unbent and reshaped into a triangle. What is the length of a side of the triangle, if all its sides are equal?**

### Answer : A

### Explanation

**Step 1:**

Perimeter of rectangle = 2(7 + 14) = 42 cm

**Step 2:**

Perimeter of equilateral triangle = 42 cm

Side length of the equilateral triangle = $\frac{42}{3}$ = 14 cm

**Q 2 - A wire is first bent into the shape of a rectangle with width 10 cm and 20 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : C

### Explanation

**Step 1:**

Perimeter of rectangle = 2(10 + 20) = 60 cm

**Step 2:**

Perimeter of square = 60 cm

Side length of the square = $\frac{60}{4}$ = 15 cm

**Q 3 - A wire is first bent into the shape of a rectangle with width 6 cm and 12 cm length. Then the wire is unbent and reshaped into a triangle. What is the length of a side of the triangle, if all its sides are equal?**

### Answer : B

### Explanation

**Step 1:**

Perimeter of rectangle = 2(6 + 12) = 36 cm

**Step 2:**

Perimeter of equilateral triangle = 36 cm

Side length of the equilateral triangle = $\frac{36}{3}$ = 12 cm

**Q 4 - A wire is first bent into the shape of a rectangle with width 11 cm and 15 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : D

### Explanation

**Step 1:**

Perimeter of rectangle = 2(11 + 15) = 52 cm

**Step 2:**

Perimeter of square = 52 cm

Side length of the square = $\frac{52}{4}$ = 13 cm

**Q 5 - A wire is first bent into the shape of a rectangle with width 7 cm and 13 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : B

### Explanation

**Step 1:**

Perimeter of rectangle = 2(7 + 13) = 40 cm

**Step 2:**

Perimeter of square = 40 cm

Side length of the square = $\frac{40}{4}$ = 10 cm

**Q 6 - A wire is first bent into the shape of a rectangle with width 12 cm and 21 cm length. Then the wire is unbent and reshaped into a triangle. What is the length of a side of the triangle, if all its sides are equal?**

### Answer : D

### Explanation

**Step 1:**

Perimeter of rectangle = 2(12 + 21) = 66 cm

**Step 2:**

Perimeter of equilateral triangle = 66 cm

Side length of the equilateral triangle = $\frac{66}{3}$ = 22 cm

**Q 7 - A wire is first bent into the shape of a rectangle with width 9 cm and 15 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : A

### Explanation

**Step 1:**

Perimeter of rectangle = 2(9 + 15) = 48 cm

**Step 2:**

Perimeter of square = 48 cm

Side length of the square = $\frac{48}{4}$ = 12 cm

**Q 8 - A wire is first bent into the shape of a rectangle with width 8 cm and 16 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : C

### Explanation

**Step 1:**

Perimeter of rectangle = 2(8 + 16) = 48 cm

**Step 2:**

Perimeter of square = 48 cm

Side length of the square = $\frac{48}{4}$ = 12 cm

**Q 9 - A wire is first bent into the shape of a rectangle with width 14 cm and 16 cm length. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?**

### Answer : A

### Explanation

**Step 1:**

Perimeter of rectangle = 2(14 + 16) = 60 cm

**Step 2:**

Perimeter of square = 60 cm

Side length of the square = $\frac{60}{4}$ = 15 cm

**Q 10 - A wire is first bent into the shape of a rectangle with width 12 cm and 18 cm length. Then the wire is unbent and reshaped into a triangle. What is the length of a side of the triangle, if all its sides are equal?**

### Answer : B

### Explanation

**Step 1:**

Perimeter of rectangle = 2(12 + 18) = 60 cm

**Step 2:**

Perimeter of equilateral triangle = 60 cm

Side length of the equilateral triangle = $\frac{60}{3}$ = 20 cm