# Areas of rectangles with the same perimeter Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Areas of rectangles with 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 - The rectangle below has the dimensions 8×2. Create a rectangle with the same perimeter, but a different area.**

### Answer : B

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(8 + 2)= 20; Area = l × w = 8 × 2 = 16 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 7×3: Its perimeter = 2(7 + 3) = 20

Its area that is different = 7×3 = 21 square units

**Q 2 - The rectangle below has the dimensions 4×5. Create a rectangle with the same perimeter, but a different area.**

### Answer : C

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(4 + 5) = 18; Area = l × w = 4 × 5 = 20 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 6×3. Its perimeter = 2(6 + 3) = 18

Its area that is different = 6×3 = 18 square units

**Q 3 - The rectangle below has the dimensions 9×4. Create a rectangle with the same perimeter, but a different area.**

### Answer : A

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(9 + 4) = 26; Area = l × w = 9 × 4 = 36 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 8×5; Its perimeter = 2(8 + 5) = 26

Its area that is different = 8×5 = 40 square units

**Q 4 - The rectangle below has the dimensions 9×6. Create a rectangle with the same perimeter, but a different area.**

### Answer : D

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(9 + 6) = 30; Area = l × w = 9 × 6 = 54 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 8×7; Its perimeter = 2(7 + 8) = 30

Its area that is different = 7×8 = 56 square units

**Q 5 - The rectangle below has the dimensions 7×2. Create a rectangle with the same perimeter, but a different area.**

### Answer : B

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(7 + 2) = 18; Area = l × w = 7 × 2 = 14 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 6×3; Its perimeter = 2(6 + 3) = 18

Its area that is different = 6×3 = 18 square units

**Q 6 - The rectangle below has the dimensions 8×5. Create a rectangle with the same perimeter, but a different area.**

### Answer : D

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(8 + 5) = 26; Area = l × w = 8 × 5 = 40 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 7×6; Its perimeter = 2(7 + 6) = 26

Its area that is different = 7×6 = 42 square units

**Q 7 - The rectangle below has the dimensions 2×7. Create a rectangle with the same perimeter, but a different area.**

### Answer : A

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(7 + 2) = 18; Area = l × w = 7 × 2 = 14 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 6×3; Its perimeter = 2(6 + 3) = 18

Its area that is different = 6×3 = 18 square units

**Q 8 - The rectangle below has the dimensions 6×2. Create a rectangle with the same perimeter, but a different area.**

### Answer : C

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(6 + 2) = 16; Area = l × w = 6 × 2 = 12 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 5×3; Its perimeter = 2(5 + 3) = 16

Its area that is different = 5×3 = 15 square units

**Q 9 - The rectangle below has the dimensions 8×4. Create a rectangle with the same perimeter, but a different area.**

### Answer : B

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(8 + 4) = 24; Area = l × w = 8 × 4 = 32 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 7×5; Its perimeter = 2(7 + 5) = 24

Its area that is different = 7×5 = 35 square units

**Q 10 - The rectangle below has the dimensions 6×3. Create a rectangle with the same perimeter, but a different area.**

### Answer : D

### Explanation

**Step 1:**

Perimeter of given rectangle = 2(l + w) = 2(6 + 3) = 18; Area = l × w = 6 × 3 = 18 square units

**Step 2:**

One possible rectangle with same perimeter has dimensions 5×4; Its perimeter = 2(5 + 4) = 18

Its area that is different = 5×4 = 20 square units