Q: Can a rectangle and a triangle have the same area?

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Yes.

no

Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?

Yes. Any triangle can be fitted twice into a rectangle having the same base length and vertical height as the triangle. Consequently, whilst the area of a rectangle = length x width ; the area of a triangle = 1/2 base x height. If we were using the same words this would be 1/2 length x width.

A traingle covers half the area of a rectangle with the same base and [perpendicular] height.

Related questions

two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.

Yes.

The area of qa triangle is always half of the area of a rectangle with the same dimensions

no

They are both geometric shapes

you split your shape in half, (The rectangle and the triangle), by putting a line through it and then calculate the area of the rectangle and then calculate the area of the triangle, half the area of the triangle then add the area of the triangle and the rectangle together!Then you should have your answer!

Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?

Yes. Any triangle can be fitted twice into a rectangle having the same base length and vertical height as the triangle. Consequently, whilst the area of a rectangle = length x width ; the area of a triangle = 1/2 base x height. If we were using the same words this would be 1/2 length x width.

1/2

No. Although the area of every triangle is equal to half the area with the same base and height, only right angled triangles are half a rectangle.

The relationship between the area of a triangle and a rectangle is a Triangle is base times height divided by 2. Area of a rectangle is length times height.

A traingle covers half the area of a rectangle with the same base and [perpendicular] height.