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Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.

The ancient Egyptians from over 4000 years ago were very good at shapes and geometry.

Art problems, such as paint required to keep the Golden Gate Bridge orange, are an application of this exercise.

The area formulas required are rectangle ( l × w ).

Knowledge of a few of the area formulas (mentioned below) are encouraged to ensure success on this exercise. The answer is to be written as a rounded decimal.įind the area of the shaded region approximately The student is asked to find the area of the region found inside the bigger shape but outside the smaller.

Find the area of the shaded region approximately: This problem has a diagram with two geometric shapes with one draw inside the other.The answer is to be written exactly.įind the area of the shaded region exactly Find the area of the shaded region exactly: This problem has a diagram with two geometric shapes with one draw inside the other.

There are two types of problems in this exercise: This exercise practices geometric reasoning via embedded shapes. The Shaded areas exercise appears under the High school geometry Math Mission.

Differential geometry khan academy