malachiley16 malachiley16

19-02-2021
Mathematics

contestada

The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two bases.

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mhanifa mhanifa

19-02-2021

Answer:

x = 2, bases are 4 cm and 6 cm

Step-by-step explanation:

Area formula:

A = 1/2(b1 + b2)h

Substitute the given values:

15 = 1/2(2x + 3x)(3)
1/2(15x) = 15
x = 2

The bases are:

b1 = 2*2 = 4 cm
b2 = 3*2 = 6 cm

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