calculate the dimensions of each rectangle if

Question

A square is cut into 3 different rectangles . dimensions of square are 9x9. if all rectangles have same area find the dimensions of each rectangle

Answer 1

Since each of the new rectangles must be equal in area they must all equal one third the area of the original square. The area of the original square is 9*9=81. Therefore each of the new rectangles must equal 27 sq units in area. We get this by dividing the original square into three rectangles with width 3 and length 9. This gives us the correct area and the original square can be easily divided into 3 rectangles each 3 by 9.

Answer 2

Draw a diagram.

A rectangle has two pairs of parallel sides and four right angles (so actually a square is a rectangle but a rectangle isn't necessarily a square).

There are many ways you could divide a 9x9 square into 3 different rectangles.

Draw 3 straight lines on your diagram.

If the top left corner is at (0,0) draw lines from (0,-1) to (9,-1) and (1,-1) to (1,-9) then your square is divided into 3 rectangles, dimensions 9 x 1, 8 x 2, 8 x 7.