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EXAMPLE 1

The free-throw lane on an international basketball court is shaped like a trapezoid. Find the area of the free-throw lane. Find the area of a trapezoid. EXAMPLE 1. BASKETBALL. 1. A = h(b 1 + b 2 ). 2. 1. = (5.8)(3.6 + 6). 2. ANSWER.

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EXAMPLE 1

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  1. The free-throw lane on an international basketball court is shaped like a trapezoid. Find the area of the free-throw lane. Find the area of a trapezoid EXAMPLE 1 BASKETBALL

  2. 1 A = h(b1 + b2) 2 1 = (5.8)(3.6 + 6) 2 ANSWER The area of the free-throw lane is about 27.8 square meters. Find the area of a trapezoid EXAMPLE 1 SOLUTION The height of the trapezoid is 5.8 meters. The lengths of the bases are 3.6 meters and 6 meters. Formula for area of a trapezoid Substitute 5.8 for h, 3.6 for b1, and 6 for b2. = 27.84 Simplify.

  3. MUSIC Rhombus PQRSrepresents one of the inlays on a guitar. Find the area of the inlay. Find the area of a rhombus EXAMPLE 2

  4. Find the area of a rhombus EXAMPLE 2 SOLUTION STEP 1 Find the length of each diagonal. The diagonals of a rhombus bisect each other, so QN = NSand PN = NR. QS = QN + NS = 9 + 9 = 18 mm PR = PN + NR = 12 + 12 = 24 mm STEP 2 Find the area of the rhombus. Let d1 represent QSand d2represent PR.

  5. 1 A = d1d2 2 1 = (18)(24) 2 ANSWER The area of the inlay is 216 square millimeters. Find the area of a rhombus EXAMPLE 2 Formula for area of a rhombus Substitute. = 216 Simplify.

  6. 1. ANSWER 28 ft2 for Examples 1 and 2 GUIDED PRACTICE Find the area of the figure

  7. 2. ANSWER 42 in.2 for Examples 1 and 2 GUIDED PRACTICE Find the area of the figure

  8. 3. ANSWER 2400 m2 for Examples 1 and 2 GUIDED PRACTICE Find the area of the figure

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