A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base? WRONG WRONG WRONG NO NO NO ::"::":""::":"""::"":":""::::::::::::: ::"::": ::":: :: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::"
Rectangle: length x width triangle: (base x height)/2
The area of a triangle is expressed using the formula A=(1/2)(bh) Where A is area Where B is length of the base of the triangle. Where H is the height of the triangle. The area of a rectangle is A=BH, Where B is the length of the base of the rectangle. Where H is the height of the rectangle. Because a triangle, essentially, is a half of a rectangle, you find the area of the whole rectangle that the triangle comes from, then divide that in half.
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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.
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
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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.
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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 ?