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The area of a trapezoid is 48 square centimeters. The height is 6 centimeters and one base 3 times the length of the other base. What are the lengths of the bases?

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adioabiola

The lengths of the bases are: 4cm and 12cm.

Area of a Trapezoid

Since the area of a trapezoid is given by the formula;

  • A = 1/2 (a + b) h.

Where a and b are the lengths of the bases and h is the height of the trapezoid.

Hence, in this case scenario; it follows that;

  • 48 = 1/2(x + 3x) 6

  • 48 = 12x

  • x = 48/12

a = x = 4cm

b = 3x = 12cm.

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