Area involving rectangles and triangles Online Quiz


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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.

Questions and Answers
Q 1 - Find the area of the shaded region in the following figure.

Area involving rectangles and triangles Quiz1

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.

Area involving rectangles and triangles Quiz2

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.

Area involving rectangles and triangles Quiz3

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.

Area involving rectangles and triangles Quiz4

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.

Area involving rectangles and triangles Quiz5

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.

Area involving rectangles and triangles Quiz6

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.

Area involving rectangles and triangles Quiz7

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.

Area involving rectangles and triangles Quiz8

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.

Area involving rectangles and triangles Quiz9

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.

Area involving rectangles and triangles Quiz10

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

area_involving_rectangles_and_triangles.htm
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