# Finding the side length of a rectangle given its perimeter or area Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Finding the side length of a rectangle given its perimeter or area**. 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 - Determine the value of 'L'.**

Area = 24 square cm

### Answer : A

### Explanation

**Step 1:**

Area of a rectangle = l × w; l = length = L; w = width = 6

**Step 2:**

Area of given rectangle = L × 6 = 24 square cm

Missing length L = $\frac{24}{6}$ = 4 cm

**Q 2 - Determine the value of 'L'.**

Area = 30 square cm

### Answer : C

### Explanation

**Step 1:**

Area of a rectangle = l × w; l = length = L; w = width = 5

**Step 2:**

Area of given rectangle = L × 5 = 30 square cm

Missing length L = $\frac{30}{5}$ = 6 cm

**Q 3 - Determine the value of 'L'.**

Perimeter = 22 cm

### Answer : B

### Explanation

**Step 1:**

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 6

**Step 2:**

Perimeter of given rectangle = 2(L + 6) = 22 cm

L + 6 = $\frac{22}{2}$ = 11;

So missing length L = 11 – 6 = 5 cm

**Q 4 - Determine the value of 'L'.**

Perimeter = 20 cm

### Answer : A

### Explanation

**Step 1:**

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 8

**Step 2:**

Perimeter of given rectangle = 2(L + 8) = 20 cm

L + 8 = $\frac{20}{2}$ = 10;

So missing length L = 10 – 8 = 2 cm

**Q 5 - Determine the value of 'L'.**

Area = 25 square cm

### Answer : D

### Explanation

**Step 1:**

Area of a rectangle = l × w; l = length = L; w = width = 5

**Step 2:**

Area of given rectangle = L × 5 = 25 square cm

Missing length L = $\frac{25}{5}$ = 5 cm

**Q 6 - Determine the value of 'L'.**

Perimeter = 20 cm

### Answer : C

### Explanation

**Step 1:**

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 7

**Step 2:**

Perimeter of given rectangle = 2(L + 7) = 20 cm

L + 7 = $\frac{20}{2}$ = 10;

So missing length L = 10 – 7 = 3 cm

**Q 7 - Determine the value of 'L'.**

Area = 30 square cm

### Answer : D

### Explanation

**Step 1:**

Area of a rectangle = l × w; l = length = L; w = width = 10

**Step 2:**

Area of given rectangle = L × 10 = 30 square cm.

Missing length L = $\frac{30}{10}$ = 3 cm

**Q 8 - Determine the value of 'L'.**

Perimeter = 16 cm

### Answer : C

### Explanation

**Step 1:**

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 3

**Step 2:**

Perimeter of given rectangle = 2(L + 3) = 16 cm

L + 3 = $\frac{16}{2}$ = 8;

So missing length L = 8 – 3 = 5 cm

**Q 9 - Determine the value of 'L'.**

Perimeter = 30 cm

### Answer : B

### Explanation

**Step 1:**

Perimeter of a rectangle = 2(l + w); l = length = L; w = width = 7

**Step 2:**

Perimeter of given rectangle = 2(L + 7) = 30 cm

L + 7 = $\frac{30}{2}$ = 15;

So missing length L = 15 – 7 = 8 cm

**Q 10 - Determine the value of 'L'.**

Area = 40 square cm

### Answer : A

### Explanation

**Step 1:**

Area of a rectangle = l × w; l = length = L; w = width = 8

**Step 2:**

Area of given rectangle = L × 8 = 40 square cm

Missing length L = $\frac{40}{8}$ = 5 cm