Find the length and width of a rectangle if its perimeter is 20cm and area is 24cm^{2}.
What are the dimensions of a rectangle whose perimeter is 60cm and area is 209cm^{2}.
Find the dimensions of a rectangle whose perimeter is 37cm and area is 67.5cm^{2}.
Find the dimensions of all the rectangles whose perimeters in cm are twice the value of their areas in cm^{2}.
Topics: Starter  Area  Geometry  Mensuration  Shape  Simultaneous Equations
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=April3 However it would be better to assign one of the student interactive activities below. 

Here are URLs which will take them to related student activities.
Transum.org/go/?to=AreaBuilder
See the National Curriculum page for links to related online activities and resources.