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

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Presentation transcript:

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

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

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

EXAMPLE 2 Find the area of a rhombus STEP 1 Find the length of each diagonal. The diagonals of a rhombus bisect each other, so QN = NS and PN = NR. QS = QN + NS = = 18 mm PR = PN + NR = = 24 mm STEP 2 Find the area of the rhombus. Let d 1 represent QS and d 2 represent PR. SOLUTION

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

GUIDED PRACTICE for Examples 1 and 2 Find the area of the figure ft 2 ANSWER

GUIDED PRACTICE for Examples 1 and 2 42 in. 2 ANSWER Find the area of the figure 2.2.

GUIDED PRACTICE for Examples 1 and m 2 ANSWER Find the area of the figure