GEOM 1 | Lesson 1 | Explore (Area and Perimeter)

Area and Perimeter

Identify each of the following as either area or perimeter.

The amount of carpet needed to cover the living room floor.
The amount of wood needed to create an 8 x 10 picture frame.
The amount of material for a shade umbrella.
The number of stepping stones to enclose the garden.
The amount peanut butter to cover a piece of toast.
The amount of lumber needed to build a fence.

You decide to create a rectangular patio in your backyard made of tiles. Each tile is \(1ft\cdot 1ft\). If your patio is 12 feet long and 15 feet wide, how many tiles will you need to cover the entire patio?

Draw 1 copy of a rectangle and 2 copies of a parallelogram with the same dimensions printed or drawn on a full sheet of paper and get a pair of scissors.  You can download the graphic below.

Rectangle and Parallelogram  

You now want to change the shape of your patio from a rectangle to a parallelogram and recalculate the area.

Watch the following video to see how this is done to see the connection between a rectangle and parallelogram. Will the area change?

Area of a parallelogram from a rectangle (cut-out demo)

Check solutions here.

Go to Explore (Area of Triangles and Trapezoids)

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