Question

The following diagram shows two triangles.

The green (upper) triangle has an of _________. The purple (lower) triangle has an area of ea of _________ .

Place the orange triangle (square symbols) directly next to the green triangle so that the two triangles together make a rectangle. The total area of this rectangle is_________, which is _________ the area of the green triangle.

Answer 1

Area of green triangle = 1/2 X base X height = 1/2 X (5 - 1) X (9 - 6) = 2 X 3 = 6

Area of purple triangle = 1/2 X (9 - 5) X (4 - 1) = 2 X 3 = 6

Area of green triangle = 1/2 times base times height = 1/2 times (5 - 1) X (9 - 6) = 2 times 3 = 6 Area of purple triangle = 1/2 times (9 - 5) times (4 - 1) = 2 times 3 = 6 Area of rectangle = Length times breadth = (5- 1) times (9 - 6) = 4 times 3 = 12 Area of rectangle is twice of area of the green triangle.

Area of rectangle = Length X breadth = (5- 1) X (9 - 6) = 4 X 3 = 12

Area of rectangle is twice of area of the green triangle.

Answer 2

The green triangle has an area of:

1/2*base*height

1/2*(5-1)*(9-6)

1/2*4*3

6

The purple triangle has an area of:

1/2*base*height

1/2*(9-5)*(4-1)

1/2*4*3

6

The total area of the rectangle is

length * breadth

(5-1)*(9-6)

4*3

12

Which is double the area of green triangle.