EXAMPLE 1 Find the area of a trapezoid BASKETBALL

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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.

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

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

EXAMPLE 2 Find the area of a rhombus SOLUTION 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 = 9 + 9 = 18 mm PR = PN + NR = 12 + 12 = 24 mm STEP 2 Find the area of the rhombus. Let d1 represent QS and d2 represent PR.

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

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

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

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

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

Find the area of the rhombus. GUIDED PRACTICE for Examples 1and 2 STEP 2 Find the area of the rhombus. A = d1 d2 1 2 Formula for area of a rhombus = 60 80 1 2 Substitute. = 2400 Simplify. The area of rhombus is 2400 m2. ANSWER