The figure represents a rectangle with a trinagle inside.
Find the ratio between the white area and the grey area.
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Triangle inside a rectangle
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anju
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Area of a rect = l * b
Area of white triangls = 1/2 base * ht
if u notice base = l and ht = b
say l = 4 and b = 2
area of grey = area of rect - area of white triangle
= 8 - 4 = 4
Ratio = white/grey = 4/4 = 1
Area of white triangls = 1/2 base * ht
if u notice base = l and ht = b
say l = 4 and b = 2
area of grey = area of rect - area of white triangle
= 8 - 4 = 4
Ratio = white/grey = 4/4 = 1
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Ian Stewart
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There are a few ways to see that the ratio is 1:1, including a couple of good ways in the above posts. You could also do as follows:
-draw a vertical line from the top corner of the white triangle to the bottom of the rectangle. This divides the large rectangle into two smaller rectangles, and each is clearly half-white, half-shaded, since the edge of the white triangle is a diagonal of each smaller rectangle.
-draw a vertical line from the top corner of the white triangle to the bottom of the rectangle. This divides the large rectangle into two smaller rectangles, and each is clearly half-white, half-shaded, since the edge of the white triangle is a diagonal of each smaller rectangle.
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