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

  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 216square millimeters. Find the area of a rhombus EXAMPLE 2 Formula for area of a rhombus Substitute. = 216 Simplify.

  6. 1. for Examples 1 and 2 GUIDED PRACTICE Find the area of the figure SOLUTION The height of the trapezoid is 4ft. The lengths of the bases are 6ftand 8ft.

  7. 1 A=h(b1+b2) 2 1 = (4)(6 + 8) 2 ANSWER The area of the figure is 28ft2. for Examples 1 and 2 GUIDED PRACTICE Formula for area of a trapezoid Substitute 4 for h, 6 for b1, and 8 for b2. = 28 Simplify.

  8. 2. ANSWER area of kite is 42 in2. 1 A = h(b1 b2) 2 1 = (6)(14) 2 for Examples 1 and 2 GUIDED PRACTICE SOLUTION Formula for area of kite Substitute. = 42 Simplify.

  9. 3. for Examples 1 and 2 GUIDED PRACTICE SOLUTION STEP 1 Find the length of each diagonal. The diagonals of a rhombus bisect each other, = 30 + 30 = 60 m d1 d2 = 40 + 40 = 80 m

  10. 1 A =d1d2 2 1 = 60 80 2 ANSWER The area of rhombus is2400 m2. for Examples 1and 2 GUIDED PRACTICE STEP 2 Find the area of the rhombus. Formula for area of a rhombus Substitute. = 2400 Simplify.

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