Test
Area of Rectangles and Squares
This test develops calculation of the area of rectangles and squares and understanding of their dimensions. Students apply area formulas, find an unknown side and distinguish square units of area from units used for perimeter.
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Sample questions
- The square depicted in the drawing, find one of its sides if the area is ___.
- The rectangle depicted in the drawing, find one of its sides if the area is ___ and the other side is ___.
- The square depicted in the drawing, find its area.
- The rectangle depicted in the drawing, find its area.
- A room floor is ___ m long and ___ m wide. How many square metres of carpet are needed to cover the whole floor?
Area of rectangles and squares
Area measures how many square units fit inside a shape. The area of a rectangle is its length multiplied by its width: A = a × b. All sides of a square are equal, so its area is A = a × a.
Difference between area and perimeter
Perimeter is the distance around a shape and is measured in units of length, such as centimetres. Area describes the inside of a shape and is measured in square units, such as cm². Similar numbers in a problem do not mean that the same formula should be used.
Finding an unknown side
If the area of a rectangle and one side are known, divide the area by the known side. If A = 24 cm² and a = 6 cm, then b = 24 ÷ 6 = 4 cm. Check the answer by multiplying the side lengths again. Before calculating, ensure that all lengths use the same measurement unit.
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