Area - squares and rectangles

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

Can you deduce the perimeters of the shapes from the information given?

We started drawing some quadrilaterals - can you complete them?

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?