lilysofiahaugh
lilysofiahaugh lilysofiahaugh
  • 28-07-2021
  • Mathematics
contestada

the unknown side of a trapezium.

the unknown side of a trapezium class=

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Аноним Аноним
  • 28-07-2021

Answer:

11 mm

Step-by-step explanation:

121=area of a rectangle and area of triangle

121=x*8+(0.5)*x*(14-8), 11x=121, x=11

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Hi1315
Hi1315 Hi1315
  • 28-07-2021

Answer:

[tex]11mm[/tex]

Step-by-step explanation:

Let the unknown side be x

[tex]Area \: \: \: of \: \: the \: \: trapezium = \frac{1}{2} \times (sum \: \: of \: \: \: the \: \: parallel \: sides) \times height \\ 121= \frac{1}{2} \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\ \frac{242}{22} = \frac{22x}{22} \\ 11 = x[/tex]

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