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A trapezoid has a height of 16 centimeters, and one of the bases measures 15 centimeters. What is the measurement of the other base if the area of the trapezoid is 208 cm2?

Answer :

bhuvna789456

The measurement of the other base is 11 cm.

Step-by-step explanation:

Area of Trapezoid = 1/2[tex]\times[/tex](base1 + base2)[tex]\times[/tex] height

Given,

  • height = 16 cm
  • base1 = 15 cm
  • Let the measure of base2 be 'x'
  • Area = 208 cm²

Area of Trapezoid = 1/2[tex]\times[/tex](15 + x)[tex]\times[/tex] 16

208 = 8(15 + x)

208 = 120 + 8x

88 = 8x

x = 88/8

x = 11 cm

∴ The measurement of the other base is 11 cm.

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