Area involving rectangles and triangles Online Quiz



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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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