Section 1.3 Applications to Geometry and Literal Equations Examples Example 1 A border of marigolds is to enclose a rectangular flower garden. If the length is twice the width and the perimeter is 25.5 ft, what are the dimensions of the garden? 2x P 2l 2w 25.5 212x2 21x2 25.5 4x 2x 25.5 6x 4.25 x The width is 4.25 ft, and the length is 2(4.25) ft or 8.5 ft. Example 2 Solve for y. 5y 4x 20 5y 5 y 4x 20 5 or y 4 5 x 4 4x 20 5 4x 5y 20 x Key Concepts Some useful formulas for word problems: Perimeter Rectangle: Area Rectangle: Square: Triangle: Trapezoid: P 2l 2w A lw A s2 A A 1 2 bh 1 2 1b1 b22h Angles Two angles whose measures total 90 are complementary angles. Two angles whose measures total 180 are supplementary angles. The sum of the measures of the angles of a triangle is 180. x x y z 180 y z Literal equations (or formulas) are equations with several variables. To solve for a specific variable, follow the steps to solve a linear equation. Summary 117
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