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A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.

12(4.5+b2)(6)=21

Respuesta :

MrRoyal

Answer:

[tex]b_2 = -2.5[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Required

Determine the value of T

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2[/tex]

[tex](4.5 + b_2) * 6 = 42[/tex]

Divide through by 6

[tex]4.5 + b_2 = 42/6``[/tex]

[tex]4.5 + b_2 = 7[/tex]

[tex]b_2 = 7 - 4.5[/tex]

[tex]b_2 = -2.5[/tex]