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

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Q 1 - Find the area of the following trapezoid by using triangles and rectangles.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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