Worksheet: Areas of Rectangles with the Same Perimeter

In this worksheet, we will practice drawing rectangles with the same perimeter, counting unit squares to find their area, and comparing the areas of rectangles with the same perimeter.

Q1:

How many squares can be drawn in the given grid, such that the vertices of each square coincide with four of the dots and that each square’s area equals 4 cm2?

Q2:

I want to draw a square with area 1 cm2 on this grid and each corner of the square must be at one of the dots. How many squares like this can I draw?

Q3:

How many squares can be drawn in the given grid, such that the vertices of each square coincide with four of the dots and that each square’s area equals 2 cm2?

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