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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Area of the rectangle = 1200 sq cm. length*breadth = 1200 sq cm. 40*x = 1200 sq cm. ---------------------------let breadth be x; therefore, x = 1200 \ 40 = 30 cm. therefore the breadth of the rectangle is 30 cm.

Now by Pythagoras Theorem we find the length of the diagonal of the rectangle, Therefore, 40² + 30² = diagonal² diagonal = √1600+900 diagonal = 50 cm

Therefore the length of the side of the square is 50 cm

Now we find the area, perimeter and the length of the diagonal of the square

area of the square = side² but side = 50 cm therefore area of the square = 50² = 2500 sq cm

perimeter of the square = 4×50 = 200 cm.

length of the diagonal ( By Pythagoras Theorem ) side² + side² = diagonal² Therefore, diagonal =√2(2500) =50√2 cm