Dimitri buys a rectangular plot of land to build a house. The lot measures 23 40 m. What is the area of the lot? Solution Draw and label a rectangle to represent the land. Identify the length and width: l 40 m, w 23 1 2 m Use the formula A lw. A lw A (40 m)a23 1 2 mb Substitute the values for l and w. A (40 m)a 47 2 mb Change the mixed number to an improper fraction. A 940 m2 Multiply. The area of the lot is 940 m2. YOU TRY 3 A rectangular truck bed liner is 1 4 5 m long and 1 1 10 40 m m wide. Find the area of the liner. 2 Find the Perimeter and Area of a Square 1 2 m by EXAMPLE 3 23 1 m 2 Definition A square is a rectangle with all four sides of equal length. Example: 6 in. 6 in. 6 in. 6 in. To fi nd the perimeter of the square in the defi nition box, we can add the lengths of all of the sides: P 6 in. 6 in. 6 in. 6 in. 24 in. Notice that we have added the length of a side four times. So, we can fi nd the perimeter of a square by multiplying the length of a side by 4. www.mhhe.com/messersmith SECTION 4.2 Rectangles, Squares, Parallelograms, and Trapezoids 297
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