# Area involving rectangles and triangles Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Area involving rectangles and triangles**. 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 - Find the area of the shaded region in the following figure.**

### Answer : B

### Explanation

**Step 1:**

Area of rectangle = l × w = 9 × 6 = 54 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 5 × 3 = 7.5 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 54 – 7.5

= 46.5 square m

**Q 2 - Find the area of the shaded region in the following figure.**

### Answer : C

### Explanation

**Step 1:**

Area of rectangle = l × w = 9 × 5 = 45 sq ft;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 4 × 3 = 6 sq ft

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 45 – 6

= 39 square ft

**Q 3 - Find the area of the shaded region in the following figure.**

### Answer : D

### Explanation

**Step 1:**

Area of rectangle = l × w = 9 × 6 = 54 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 6 × 2 = 6 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 54 – 6

= 48 square m

**Q 4 - Find the area of the shaded region in the following figure.**

### Answer : A

### Explanation

**Step 1:**

Area of rectangle = l × w = 8 × 6 = 48 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 6 × 4 = 12 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 48 – 12

= 36 square m

**Q 5 - Find the area of the shaded region in the following figure.**

### Answer : B

### Explanation

**Step 1:**

Area of rectangle = l × w = 10 × 6 = 60 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 7 × 2 = 7 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 60 – 7

= 53 square m

**Q 6 - Find the area of the shaded region in the following figure.**

### Answer : D

### Explanation

**Step 1:**

Area of rectangle = l × w = 8 × 5 = 40 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 5 × 4 = 10 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 40 – 10

= 30 square m

**Q 7 - Find the area of the shaded region in the following figure.**

### Answer : A

### Explanation

**Step 1:**

Area of rectangle = l × w = 8 × 6 = 48 sq m;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 4 × 2 = 4 sq m

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 48 – 4

= 44 square m

**Q 8 - Find the area of the shaded region in the following figure.**

### Answer : C

### Explanation

**Step 1:**

Area of rectangle = l × w = 8 × 5 = 40 sq ft;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 4 × 3 = 6 sq ft

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 40 – 6

= 34 square ft

**Q 9 - Find the area of the shaded region in the following figure.**

### Answer : B

### Explanation

**Step 1:**

Area of rectangle = l × w = 8 × 6 = 48 sq ft;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 4 × 3 = 6 sq ft

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 48 – 6

= 42 square ft

**Q 10 - Find the area of the shaded region in the following figure.**

### Answer : A

### Explanation

**Step 1:**

Area of rectangle = l × w = 9 × 6 = 54 sq ft;

Area of triangle = $\frac{1}{2}$ b h = $\frac{1}{2}$ × 3 × 3 = 6 sq ft

**Step 2:**

Area of shaded region = Area of rectangle – Area of triangle

= 54 – 6

= 48 square ft