The given figure shows a pentagon ABCDE. EG drawn parallel to DA meets BA produced at G and CF drawn parallel to DB meets AB produced at F. Prove that the area of Pentagon ABCDE is equal to the area of triangle GDF

 

A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.

 

The digit of two digit number differ by 3 if the digit are interchange in the resulting number is added to the original number the result is 143 find the original number

 

From Each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e. the shaded portion. class 7

 

The ratio between the number of sides of two regular polygons is 3:4 and the ratio between the sum of their interior angle is 2:3. Find the number of side in each polygon.