The picture shows a rectangle divided into two parts
Instead of the broken line separating these parts,draw a straight line to divide the rectangle into two other parts of the same area.calculate the areas of these parts
Answers
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Given : a rectangle divided into two parts.
To find : draw a straight line to divide the rectangle into two other parts of the same area.
Solution:
Area of rectangle = 3 * (2 + 3) = 15 cm²
Area of green part = Area of rectangle 2 * 3 + area of triangle (1/2) *2 * 1 + area of triangle (1/2) * 1 * 2
= 6 + 1 + 1
= 8 cm²
Area of yellow part = 15 - 8 = 7 cm
Width of Green rectangle = 8 /3 cm
Width of yellow rectangle = 7 / 3 cm
a line at a distance of 8/3 cm from green area side can drawn to divide into two rectangle one equal to area of green part & another equal to area of yellow part
if line is drawn other way then it would be 8/5 cm & 7/5 cm from other line
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