Finding the area of a trapezoid on a grid by using triangles and rectangles Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Finding the area of a trapezoid on a grid by using triangles and rectangles. 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 following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz1

Answer : A

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 0.5 × 5 = 2.5 square in.

Step 2:

Area of Rectangle = l × w = 5 × 3 = 15 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 2.5 + 15

= 17.5 square in

Q 2 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz2

Answer : C

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 3.5 × 3 = 10.5 square in.

Step 2:

Area of Rectangle = l × w = 5 × 3 = 15 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 10.5 + 15

= 25.5 square in

Q 3 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz3

Answer : B

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 1.5 × 4 = 6 square in.

Step 2:

Area of Rectangle = l × w = 4 × 3 = 12 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 6 + 12

= 18 square in

Q 4 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz4

Answer : D

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 2 × 4 = 8 square in.

Step 2:

Area of Rectangle = l × w = 4 × 4 = 16 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 8 + 16

= 24 square in

Q 5 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz5

Answer : D

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 1.5 × 3 = 4.5 square in.

Step 2:

Area of Rectangle = l × w = 5 × 3 = 15 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 4.5 + 15

= 19.5 square in

Q 6 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz6

Answer : B

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 0.9 × 4 = 3.6 square in.

Step 2:

Area of Rectangle = l × w = 5 × 4 = 20 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 3.6 + 20

= 23.6 square in

Q 7 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz7

Answer : A

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 0.95 × 3 = 2.85 square in.

Step 2:

Area of Rectangle = l × w = 6 × 3 = 18 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 2.85 + 18

= 20.85 square in

Q 8 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz8

Answer : C

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 1 × 3 = 3 square in.

Step 2:

Area of Rectangle = l × w = 6 × 3 = 18 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 3 + 18

= 21 square in

Q 9 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz9

Answer : B

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 1.5 × 4.4 = 6.6 square in.

Step 2:

Area of Rectangle = l × w = 5 × 4.4 = 22 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 6.6 + 22

= 28.6 square in

Q 10 - Find the area of the following trapezoid by using triangles and rectangles.

Finding the area of a trapezoid on a grid by using triangles and rectangles Quiz10

Answer : D

Explanation

Step 1:

Area of Right Triangle = $\frac{1}{2}$ × b × h; b = base; h = height.

Area of 2 right triangles = 2 × $\frac{1}{2}$ × b × h = 3.5 × 3.5 = 12.25 square in.

Step 2:

Area of Rectangle = l × w = 5 × 3.5 = 17.5 square in

Step 3:

Area of trapezoid = Area of triangles + Area of rectangle

= 12.25 + 17.5

= 29.75 square in


finding_area_of_trapezoid_on_grid_by_using_triangles_and_rectangles.htm

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