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Find area of rectangles

Area of a rectangle measures the amount of two-dimensional space it covers, found by multiplying its length by its width: A=l×wA = l \times w. The learner interprets this relationship through square-unit arrays or tiled regions, determines appropriate square units, and distinguishes area from perimeter; dimensions may be whole numbers, decimals, or fractions, without extending to composite figures or more advanced algebraic generalizations.

Detailed Explanation: Find area of rectangles

Area tells how much flat space a rectangle covers. Imagine covering the rectangle completely with equal-sized squares. The number of squares needed is the area.

Use the formula:

A=l×wA=l\times w

where ll is the length and ww is the width.

Example: Find the area of a rectangle that is 88 meters long and 33 meters wide.

  1. Identify the dimensions:
l=8 m,w=3 m l=8\text{ m},\qquad w=3\text{ m}
  1. Multiply the length by the width:
A=8×3=24 A=8\times3=24
  1. Write the answer in square units:
24 square meters \boxed{24\text{ square meters}}

or 24 m2\boxed{24\text{ m}^2}.

This makes sense because the rectangle can be arranged as 88 rows of 33 square-meter tiles, for a total of (24)(24) tiles. Area measures the space inside the rectangle. Perimeter is different: it measures the distance around the rectangle.

Learn by doing: Find area of rectangles

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Area of a Rectangle (sides below 10) - Image to Area


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