If the areas of two rectangles are same, they are congruent

If the areas of two circles are the same, they are congruent.

If the areas of two squares is same, they are congruent.

Area of a rectangle.

The length of a rectangle exceeds its breadth by 7 cm. If the length is decreased by 4 cm , and the breadth is increased by 3 cm, the area of the new rectangle is the same as the area of the original ractangle. Find the length and breadth of the original rectangle.

Which of the following statements are true and which are false; All squares are congruent.If two squares have equal areas,they are congruent.If two rectangles have equal areas, they are congruent.If two triangles have equal areas,they are congruent.

If the area of two similar triangles are equal then the triangles are congruent.

Assertion (A): Two similar triangles are always congruent. Reason (R ): It the area of two similar triangles are equal then the triangles are congruent

If the areas of two similar triangles are equal, prove that they are congruent.